Factorize:
a⁴-a³+2a²​

Answers

Answer 1

[tex] {a}^{4} \: - \: {a}^{3} \: + \: {2a}^{2} [/tex]

Factor the expression with the common factor that is "a²".

[tex] \boxed{ \bold{ {a}^{2} \: \times \: ( {a}^{2} \: - \: a \: + \: 2)}}[/tex]

MissSpanish
Answer 2

Answer:

a²​(a²​-a+2)

Step-by-step explanation:

Solution Given:

a⁴-a³+2a²​

first taking common a²​

we get

a²​(a²​-a+2) which is a required answer.


Related Questions

What is the length of leg s of the triangle below?
45°
√32
45⁰
4
A. 4
B. 16
C. √32
D. 1.5
E. 2.2
F. √4

Answers

An isosceles right angled triangle has two equal sides, and those two equal sides make 90 degrees (right angle) internally. The correct option is A.

What is an isosceles right angled triangle?

An isosceles right angled triangle has two equal sides, and those two equal sides make 90 degrees (right angle) internally.


Since the two of the angles of the triangle are equal, therefore, the length on the opposite sides of this angle will be equal to each other. Hence, we can write that the length of the side s will be equal to 4.

Hence, the correct option is A.

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Based on the graph, which statement is correct about the solution to the system of equations for lines A and B

Answers

Answer:

the answer is (3,4) is the solution to line A but not to line b

A friend of yours was interested in determining whether the news media noticed campus events. Your friend decided to do a content analysis of the local paper.Your friend counted each story that mentioned his university's name. At the end of two months, 136 events had been counted. Your friend asked for your comments on his research. You told your friend:

Answers

The inference is that the person will tell the friend that he did manifest coding and he should have recorded the base.

What is an inference?

The options are:

He did manifest coding.

He did latent coding.

He should have recorded the base.

He did manifest coding and he should have recorded the base.

It should be noted that an inference simply means the conclusion that can be deduced based on the information given.

In this case, the friend was interested in determining whether the news media noticed campus events and decided to do a content analysis of the local paper.

Therefore, the the person will tell the friend that he did manifest coding and he should have recorded the base.

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You told your friend: d. he did manifest coding and he should have recorded the base.

How to determine the true statement?

The missing options are:

a. he did manifest coding.      b. he did latent coding.

c. he should have recorded the base.

d. he did manifest coding and he should have recorded the base.

e. he did latent coding and he should have recorded the base.

From the question, we understand that:

Each story is counted136 events were counted after 2 months

As a general rule, manifest coding include making use of the contents at the surface gotten from available data and questionnaires.

Because the stories that mentioned the university name can be gotten from publications, it means that your friend used manifest coding

Hence, the true statement is (d) he did manifest coding and he should have recorded the base.

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If a^2 and b are directly proportional, and a=2 when b=9, then what is b when a=6?

Answers

Answer:

b = 81

Step-by-step explanation:

given a² and b are directly proportional then the equation relating them is

a² = kb ← k is the constant of proportionality

to find k use the condition a = 2 when b = 9 , then

2² = 9k

4 = 9k ( divide both sides by 9 )

[tex]\frac{4}{9}[/tex] = k

a² = [tex]\frac{4}{9}[/tex] b ← equation of proportion

when a = 6 , then

6² = [tex]\frac{4}{9}[/tex] b

36 = [tex]\frac{4}{9}[/tex] b ( multiply both sides by 9 to clear the fraction )

324 = 4b ( divide both sides by 4 )

81 = b

5.
Annette earns $30 in 2 hours and Carla earns $96 in 6 hours. Who has the
higher hourly rate?
A

Answers

Answer is Carla at $16/hr
Reason
Annette makes $30/2 hrs
Divide and it makes $15/1 hrs
Carla makes $96/6 hrs
Divide and it makes $16/hr

Answer:

Carla

Step-by-step explanation:

First we need to find the hourly rate for Annette

Take the dollars earned and divide by the number of hours

30/2 = 15 dollars per hour

Now we can find the hourly rate for Carla

96/6 =16 dollars per hour

Carla has the higher hourly rate  since she earns more per hour

True OR False
---------------------
x + 65 = 87, x = 27?​

Answers

Answer:

False

Step-by-step explanation:

27+65=92, so false

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: False[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: x + 65 = 87[/tex]

[ subtract 65 on both sides ]

[tex]\qquad \tt \rightarrow \: x + 65 - 65 = 87 - 65[/tex]

[tex]\qquad \tt \rightarrow \: x = 22[/tex]

but according to the statement it says, x = 27

which is proved wrong.

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Use properties of exponents to simplify the expression. First, express the
answer in exponential form. Then, evaluate the expression.
(1^3) ^4

Answers

Step-by-step explanation:

[tex] = { ({1}^{3} )}^{4} [/tex]

[tex] = {1}^{3 \times 4} [/tex]

[tex] = {1}^{12} [/tex]

[tex] = 1[/tex]

oas on a callable bond is 75 basis points using on-the-run treasuries as benchmark rates. which is correct?

Answers

When the callable bond is 75 basis points using on-the-run treasuries as benchmark rates,it implies that the nominal speed is 75bp over the treasury benchmark rates.

What is a bond?

It should be noted that a callable bond is the debt instrument whee the issuer has the right to return the principal of the investor.

Callable bonds are also known as redeemable bonds and they're paid off before the maturity date of the bond by the issuer.

It gives room for companies to pay off their debt early and then get benefit regarding favorable interests.

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What is the sum of 4 + (-6)?

Answers

Answer:

-2

Step-by-step explanation:

4 + (-6) = -2

Answer = -2

Explanation: since your starting with a positive and adding a negative number you just subtract it.

PLS HELP! (PRE-ALG) WILL GIVE BRAINLIEST. Thx sm
Jean transformed a point by using the rule (x,y) → (x−6.y+8). The image point is (-4, 1). Which point is the pre-image?
a. (-10, 9)
b. (2-7)
c. (-2,7)
d. (10,-9)

Answers

I believe the answer is -2, 7

The answer for this questions is B. (2-7)

PLEASE HELP RNNN HELPPPPPPPPPPPP

Answers

Answer:

I think favorable outcomes are just the outcomes

which is 6

SR, SB, MR, MB, LR, LB

Step-by-step explanation:

a herd of 25 horses has 12 white and some black horses what is the ratio of white to black horses

Answers

The ratio of white to black horses is 12:25

12:25 is also the same as 12/25 (in the fractional form!)

hope this helps, have a great day/night/afternoon!! Don't forget to mark me the brainliest if this ever helps you!

Which function is graphed below?

Answers

Answer: The second option, y = 3(1/3)^x

Step-by-step explanation: Input each equation into a graphing calculator (preferably GeoGebra online) and check the answer. I linked the equation, but make sure to check anyway just in case :)

Question 9 of 10
If f(x)= (3 + x) over (x-3)

what is f(a + 2)?

A. 3+ f(a+2) over f(a)-1

B. (5+ a) over (a-1)

c. (3+a) +2
(a-3)

Answers

Answer:

[tex]\huge\boxed{\sf f(a+2)=\frac{5+a}{a-1}}[/tex]

Step-by-step explanation:

Given function:

[tex]\displaystyle f(x)=\frac{3+x}{x-3}[/tex]

Put x = a + 2

[tex]\displaystyle f(a+2)=\frac{3+a+2}{a+2-3} \\\\f(a+2)=\frac{5+a}{a-1} \\\\\rule[225]{225}{2}[/tex]

A farmer has 32 cows. he puts an equal number of cows in 4 fields. each cow produces 6 gallons of milk. how much milk do the cows in one field produce?

Answers

Answer:

48/field

you take 32÷4=8 and then you 8*6=48 each field

Which is mostly likely to be the first step in solving a system of nonlinear equations by substitution

Answers

Answer: To solve a system of equations by substitution, we can rewrite a two-variable equation as a single variable equation by substituting the value of a variable from one equation into the other. Let’s start by solving the system of equations that we looked at above: x=4 x = 4 y+x=12 y +x = 12

Step-by-step explanation:

Answer:

Isolating a variable in one of the equations.

Step-by-step explanation:

Please help i dont get this at all so please i will highly appreciate it .Thank youuu!!!

Answers

Answer:

D

Step-by-step explanation:

A quadrilateral has angles 60,60,120 and 120
write down the names of three possible quadrilaterals that can have these angles

Answers

Answer:

RhombusIsosceles TrapeziumParallelogram

Step-by-step explanation:

A quadrilateral has angles 60,60,120 and 120

write down the names of three possible quadrilaterals that can have these angles

RhombusIsosceles TrapeziumParallelogram

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Consider the expression below. For (x - 6)(x + 2) to equal 0, either (x - 6) or (x + 2) must equal . The values of x that would result in the given expression being equal to 0, in order from least to greatest, are and . Reset Next

Answers

The values of x that would result in the given expression being equal to 0 is -2, 6

Finding the solution to quadratic functions

Given the following expression

f(x) = (x-6)(x+2)

If the function f(x) = 0, then;

(x-6)(x+2) = 0
x - 6 = 0 and x + 2 = 0

Determine the value of  x

x = 6 and x = -2

Hence the values of x that would result in the given expression being equal to 0 is -2, 6

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Point M is 6 units away from the origin. Circle the letter by each pair of possible
coordinates.
A. (3, 0)
B. (4, 2)
C. (5, 3)
D. (0, 6)
E. (4, 4)
F. (1, 5)

Answers

The distance between the points (0, 0) and (0, 6) on the coordinate plane will be 6 units. Then the correct option is D.

What is the distance between two points?

The shortest distance (length of the straight line segment's length connecting both given points) between points (p, q) and (x, y) is:

D² = (x – p)² + (y – q)²

Point M is 6 units away from the origin.

Take option D assuming correct, then the point will be (0, 6)

Then the distance between the points will be

D² = (0 - 0)² + (6 - 0)²

D² = 0² + 6²

D² = 0 + 36

D² = 36

D = 6 units

Then the correct option is D.

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FIND X AND Y. PLEASE HELP! I WILL GIVE BRAINLIEST!!!

Answers

Answer:

x = 20, y = 60

Explanation:

Angles which lie in a straight line sum ups to 180°

3x + 3x + 3x = 180

9x = 180

x = 180/9

x = 20

Using the same theorem,

3x + y + 3x = 180

3(20) + y + 3(20) = 180

60 + 60 + y = 180

120 + y = 180

y = 180 - 120

y = 60

or

y = 3x

y = 3(20)

y = 60

The value of x is 20° and the value of y is 60°.

What is the vertical angles theorem?

According to this theorem, when two straight lines cross, they create two sets of linear pairs with matching angles. The adjacent angles created by the junction of these two lines are likewise said to be supplementary, or equivalent to 180 degrees.

As per the vertical angles theorem and vertical angles theorem,

the two angle equations as per the opposite angle and supplementary angles.

3x + 3x + 3x = 180

9x = 180

x = 180/9

x = 20

And another equation can be described as,

3x + y + 3x = 180

6x + y = 180

6(20) + y = 180

y = 180 - 120

y = 60

Therefore, x = 20 degrees and y = 60 degrees.

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The median height of 11 footballers is 1.85m.
Only one footballer has a height of 1.85m
How many footballers have a height under 1.85m

Answers

5 footballers because if 1.85 is the median, or the middle number, there has to be five players above that height and 5 players below.

Mr. avanzado has an underground in his house. what unit of measure will he use to find its value

Answers

Answer:  Volume

Step-by-step explanation:

Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3


Help me please?

Answers

Answer:

y-2=1/3(x-3)

Step-by-step explanation:

Point slope formula: y-y1=m(x-x1)

m is slope.

y-2=1/3(x-3)

Hope this helps!

If not, I am sorry.

Please help me asap.

Answers

Answer:

B

D

A

C

Step-by-step explanation:

Whatever is listed 2nd in the parentheses, do that function first. Then take that result & do the function listed first.

2^-4 simplified form

Answers

Answer:

1/16 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

Step-by-step explanation:

COMPLETE THE FOLLOWING EQUATION USING APPROPRIATE SIGN ( +,-,x,÷) IN THE BOXES GIVEN:
REMEMBER TO USE (DMAS)

Answers

Answer:

) +, -

e) x, ÷

g) ÷

Step-by-step explanation:

Find the value of the lettered angle b​

Answers

Answer:

60°

Step-by-step explanation:

30 is an opposite angle (2 angles of 30°)

sum of all angles = 360°

360 - 90 -30 - 150 - 30 = 60°

check

60 + 30 + 150 + 30 + 90 = 360°

the answer is good

Answer:

b = 60

Step-by-step explanation:

A straight line is 180 degrees

30+90+b = 180

Combine like terms

120 +b = 180

b =180-120

b = 60

Describe the steps you used to solve the equation and
find the amount of Carrie's allowance.
Linear equation: 1/4a+1/3a+8=22

Answers

Answer:

a=24

Step-by-step explanation:

Start by subtracting 8 from both sides giving:

1/4a+1/3a=14

Then find a common denominator between the two a terms which is 12 giving:

3/12a+4/12a=14

Combine the two terms:

7/12a=14

Then divide by 7/12 giving you a=24

Match the verbal expression (term) with its algebraic expression (definition).

Match Term Definition
d
Some number increased by two A) a ÷ 2
c
A variable decreased by two B) y2
e
Product of an unknown value and two C) x − 2
2
Quotient of some number and two D) b + 2
b
An unknown value squared E) 2z

Answers

The matching of definitions and terms are done below.

Some number increased by two ⇒ b + 2A variable decreased by two ⇒ x – 2Product of an unknown value and two ⇒ 2zQuotient of some number and two ⇒ a ÷ 2An unknown value squared ⇒ y²

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Match the verbal expression (term) with its algebraic expression (definition).

Some number increased by two ⇒ b + 2

A variable decreased by two ⇒ x – 2

Product of an unknown value and two ⇒ 2z

Quotient of some number and two ⇒ a ÷ 2

An unknown value squared ⇒ y²

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