The simplified answer is 27m^2
The simplification of the given expression is equal to (336a² + 27[tex]a^{(2-2m)[/tex])/256.
To simplify the expression, let's start by expanding each term and then combining like terms:
Expand the first term (4[tex]a^m[/tex] + 3)³
(4[tex]a^m[/tex] + 3)³ = (4[tex]a^m[/tex] + 3)(4[tex]a^m[/tex] + 3)(4[tex]a^m[/tex] + 3)
Using the binomial expansion formula for (a + b)³
(a + b)³ = a³ + 3a²b + 3ab² + b³
So, for (4[tex]a^m[/tex] + 3)³
(4[tex]a^m[/tex] + 3)³ = 4³ × ([tex]a^m[/tex] )³ + 3 ×4² [tex]a^m[/tex] ([tex]a^m[/tex] )²× 3 + 3 × 4× ([tex]a^m[/tex] ) × 3² + 3³
= 64[tex]a^{(3m)[/tex] + 144[tex]a^{(2m)[/tex] + 108[tex]a^m[/tex] + 27
Expand the second term (1/16[tex]a^{(1-m)[/tex])²
(1/16[tex]a^{(1-m)[/tex])² = (1/16[tex]a^{(1-m)[/tex]) (1/16[tex]a^{(1-m)[/tex])
Simplify the square of a fraction by squaring the numerator and denominator separately:
(1/16[tex]a^{(1-m)[/tex])² = (1²)/(16²) × ([tex]a^{(1-m)[/tex])²
= 1/(256) × [tex]a^{(2(1-m))[/tex]
=[tex]a^{(2-2m)[/tex]/256
Now, let's multiply both simplified terms:
(4[tex]a^m[/tex] + 3)³ ×(1/16[tex]a^{(1-m)[/tex])²
= (64[tex]a^{(3m)[/tex] + 144[tex]a^{(2m)[/tex]+ 108[tex]a^m[/tex]+ 27) ([tex]a^{(2-2m)[/tex]/256)
Now, combine the terms with similar exponents:
= (64[tex]a^{(3m)[/tex] [tex]a^{(2-2m)[/tex] + 144[tex]a^{(2m)[/tex] [tex]a^{(2-2m)[/tex]+ 108[tex]a^m[/tex] [tex]a^{(2-2m)[/tex] + 27 × [tex]a^{(2-2m)[/tex])/256
Using the property [tex]a^m \times a^n = a^{(m+n):[/tex]
= (64[tex]a^{(3m + 2 - 2m)[/tex]+ 144[tex]a^{(2m + 2 - 2m)[/tex] + 108[tex]a^{(m + 2 - 2m)[/tex]+ 27[tex]a^{(2-2m)[/tex])/256
Simplify the exponents,
= (64a² + 144a² + 108a² + 27[tex]a^{(2-2m)[/tex])/256
Now, combine the like terms:
= (336a² + 27[tex]a^{(2-2m)[/tex])/256
Therefore, the simplified expression is equal to (336a² + 27[tex]a^{(2-2m)[/tex])/256.
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find the value of x
x/4+3=−5
Answer: Id.k sorry
Step-by-step explanation:
Step-by-step explanation:
x/4= -5-3
x/4= -8
x= -8 * 4
x= -32
Which of the equations below has no solution?
Diana baked 36 cookies with 4 scoops of flour. How many scoops of flour does Diana need in order to bake 45 cookies? Assume the relationship is directly proportional.
Answer:
5 scoops of flour
Step-by-step explanation:
36 divided by 4 is 9
9 x 5 is 45
What is the Y-intercept of the simplified equation??
Answer: -7
Step-by-step explanation: y+3x=8x-7
subtract 3x from both sides y=5x-7
y=Mx+b
b=-7
Combine like terms. Which Pokemon has the correct answer?
-17x + 13x = ?
Answer:
-4x
Step-by-step explanation:
You add -17x and 13x and you get -4x.
What is the value of x? NEDD HELP ASP
A x=15
B x=30
C x=37.5
D x=52.5
Answer:
The value of x is 15 .
Option (A) is correct.
Step-by-step explanation:
As given
∠1 and ∠2 are complementary.
i.e the sum of ∠1 and ∠2 is 90° .
Thus
∠1 + ∠2 = 90°
x° + (3x+30)° = 90°
x + 3x + 30 = 90
4x = 90-30
4x = 60
x = \frac{60}{4}x=
4
60
x = 15
Therefore the value of x is 15 .
Option (A) is correct.
Answer:
A. x=15
Step-by-step explanation:
To solve this problem, we can combine like terms.
3x + (1)x are like terms.
3x + (1)x = 4x.
Since 3x and (1)x are the only pair of like terms, we are done with this step.
Complementary angles have a sum of 90°.
4x + 30 = 90.
Next, we subtract 30 from 90.
90 - 30 = 60.
Then, we divide 60 from 4.
60 / 4 = 15.
15 is the final answer.
Therefore, the value of x is 15.
The sequence 18, 9, 9/2, 9/4, 9/8, ... represents the percentage of votes a particular political candidate has according to polls each day after a scandal. The sequence has a common
Answer:
r = 1/2Step-by-step explanation:
Given sequence:
18, 9, 9/2, 9/4, 9/8, ...We can see this is a GP and its common ratio is:
r = 9/8 ÷ 9/4 = 9/4 ÷ 9/2 = 9/2 ÷ 9 = 9 ÷ 18 = 1/2Common ratio
9/18=1/29/2/9=1/29/4/9/2=1/2Common ratio is 1/2
What is the value of y in 3y + 9 = 45
Y=12, this is just a guess. Sorry if its wrong.
What Fractions are equal to one half?
Answer:
2/4 4/8 8/16 16/32
Step-by-step explanation:
Answer:
1/2
2/4
3/6
4/8
5/10
6/12
10/20
50/100
100/200
CAN IN THIS APP HELPS ME I POSTED THE QUESTION 4 TIMES LOST ALL MY POINTS PLEASE Help please help me
Answer:
i am not certain but i think i am correct
LA- 131.88
SA- 188.4
V- 197.82
Step-by-step explanation:
LA-
2×3.14= 6.28
6.28×3= 18.84
18.84×7= 131.88
SA-
2×3.14= 6.28
6.28×3= 18.84
18.84×7= 131.88
2×3.14= 6.28
6.28×3= 18.84
18.84×3= 56.52
56.52+131.88= 188.4
V-
3.14×3= 9.42
9.42×3= 28.26
28.26×7= 197.82
as i said i am not sure if this is right
Find the distance between the points (1,0) and (2,-2)
Distance = ?
please help!!!!
Answer:
√5
Step-by-step explanation:
use distance formula
1/Secx-tanx -1/secs+tanx
Need help really bad
It’s the second one
Answer:
Explanation down
Step-by-step explanation:
Pls solve will give brainlest
Answer:
x=65
Step-by-step explanation:
That is the answer.
Write the number in 2 equivalent forms as a fraction, decimal, or percent.
15
16
What is the equivalent decimal?
Answer:
15= 0.15 15% 16=0.16 1 6/100
Step-by-step explanation:
What is 2 1/2 x 5 as a fraction and how
Answer:
12.5
Step-by-step explanation:
2 1/2 or 2.5 (in decimal form) times 5 equals 12.5
By multiplication of numbers, The solution of the expression 2 1/2 × 5 in form of a fraction is,
⇒ 2 1/2 × 5 = 25 / 2
What is mean by Multiplication?The multiplication of numbers means to add or sum a number to itself a particular number of times. And, The Multiplication can be viewed as a process of repeated addition.
We have to given that;
The expression of the multiplication is,
⇒ 2 1/2 × 5
Now, We can multiply the numbers as;
Here, The expression of the multiplication is,
⇒ 2 1/2 × 5
Change into improper form;
⇒ 5/2 × 5
⇒ 5 x 5 / 2
After multiply the numbers as;
⇒ 25 / 2
Therefore, By multiplication of numbers, The solution of the expression 2 1/2 × 5 in form of a fraction is written as,
⇒ 2 1/2 × 5 = 25 / 2
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Which of the following pairs show two congruent triangles?
Answer:
B and C
Step-by-step explanation:
They're congruent
115 divided by 356................
Answer:
0.32
:)
brainliest greatly appretiated
Multiply.
-0.2(24)=
-100(-9.287)
Answer:
-0.2(24)= -4.8
-100(-9.287)= -9.287
The radius of a circle is 15 cm, what is the area of this circle?
Answer:
706.86
Step-by-step explanation:
have a good day! :D
no links or files or ima report you and i mean it
Answer: Links and files
I will mark Brainliest just help meee
Answer:
h
Step-by-step explanation:
Answer:
G
Step-by-step explanation:
Function G
in the formula
y=mx+b
B is also a way to find the y intercept
in function G the y-intercept is 6
and in the graph the y-intercept is 4
6 is greater than 4 so
Function G is larger
An arc has a central angle of 2/5 pi and a length of 6 pi. What is the circumference of the circle?
Answer:
15 pi.
Step-by-step explanation:
2/5=6/x
x=15
This is how I would answer it, but there is an error with the question. The measure of the central angle of an arc is supposed to be equal to the length of the arc.
I need some help on this, I do NOT get it lol
Answer:
Logarithmic
Step-by-step explanation:
It's literally a logarithmic function because it includes "log" which is short for logarithmic.
PLEASE HELP NO LINKS OR FILES
Answer:
it's 6
Step-by-step explanation:
3 * 2 is 6
hope I get brainiest
Answer:
7 and 8
Step-by-step explanation:
1/2(x) > 3
1/2(x) = 3
x = 6
x>6
x=7, x=8
what is the total price of a book if barnes and nobles gets it for 4.25 and the markup is 30% How much do they sell the book for?
Answer:
$5.53 i think
Step-by-step explanation:
30% = 0.3
0.3 x 4.25 = 1.275
1.275 + 4.25 ≈ 5.53
Answer:
5.25
Step-by-step explanation:
what expression is equivalent to 3(7x-z+5)
On Sunday the temperature was 5 degrees lower on Saturday. What was the temperature on Sunday?
-2
........................
At a tournament, the bowling league is providing 160 sandwiches for its members.
The table shows the number of different types of sandwiches that were ordered.
The ratio of turkey sandwiches to roast beef sandwiches is 5:3.
Drag the numbers to complete the table.
Turkey: 80
Roast beef: ?
Vegetarian: ?
The number of beef sandwich is 48 and vegetarian sandwich is 32.
What are word problems?A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
Given that, total number of sandwiches = 160, ratio of turkey sandwiches to roast beef sandwiches = 5:3. Number of turkey sandwiches = 80
Let the number of turkey sandwich and that of roasted beef sandwich be 5x and 3x respectively,
5x = 80
x = 16
Therefore, number of roasted beef sandwiches = 16 × 3 = 48
Total number of turkey sandwich and beef sandwich = 48 + 80 = 128
The number of vegetarian sandwich = 160 - 128 = 32
Hence, the number of beef sandwich is 48 and vegetarian sandwich is 32.
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I really need help!!! Thank you!
Answer:
it's A, multiply and see, you get the same answer as in the question
Step-by-step explanation:
What is the answer to this question
