Please answer this for me

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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Answer:

c=81

Step-by-step explanation:

Take half of b: 18/2=9

Square the result: 9²=81

This is your value of c that will result in a perfect square trinomial, which is c=81. If you were to keep going, you would do the following:

x²+18x+81=25+81

x²+18x+81=106

(x+9)^2=106 <-- Final simplification

(x+9

Answer:

c=81

Step-by-step explanation:

pls give me banliest

Answer:

180

Step-by-step explanation:

This basically means that one and a half of the amount of people that took a biking class ran on the treadmill.

There are two ways to solve

1. [tex]\frac{150*120}{100}[/tex]

2. [tex]120+\frac{120\\}{2}[/tex]

To do the first one:

1. Multiply the values in the numerator

18000/100

2. Divide

180

To do the second one:

1. Divide the fraction

120 + 60

2. Add

180

Answer:

37

Step-by-step explanation:

there is no problemStep-by-step explanation:

Answer:

20oz

Step-by-step explanation:

60%=12oz

this can be simplified into 1%

in order to find 1% divide by 60

60%/60=1%

in order to find out how much 1% is, divide 12oz by the number used to divide the percent

12/60=0.2

so 0.2=1% and we want to know 100% so multiply by 100

0.2x100=20

1%x100=100%

so 20oz=100% of the bottle

Answer:

[tex]\displaystyle [x + 3][11x + 2][/tex]

Step-by-step explanation:

[tex]\displaystyle 11x^2 + 35x + 6 \\ [11x^2 + 2x] + [33x + 6] \\ x[11x + 2]\:\:\:\:\:3[11x + 2] \\ \\ \boxed{[x + 3][11x + 2]}[/tex]

I am joyous to assist you at any time.

Answer: i took the test

Step-by-step explanation:

Answer:

jhgsdfgtyhujwert

Step-by-step explanation:

Answer:

To form the equation, it would y = -2/5x

Step-by-step explanation:

Answer:

20 possible outcomes

Step-by-step explanation:

Answer:

37 1/8

Step-by-step explanation:

The problem probably assumes direct variation

y=kx

IF so, then plug in the values and solve for k

27=k(8)

k = 27/8

y= (27/8)x.  Now let x = 11

y = (27/8)11 = 27(11)/8 = 37.125 = 37 1/8

y = 37 1/8

the problem is making some assumption about the relation between x and y.  The simplest assumption that's likely is direct variation,  that x and y are linearly related.  The graph is a straight line through the origin with slope = 27/8

Answer:

A is the correct answer.

Hope this helps [tex]\mathtt{: )}[/tex]

Answer:

Salinity and conductivity measure the water's ability to conduct electricity, which provides a measure of what is dissolved in water. In the SWMP data, a higher conductivity value indicates that there are more chemicals dissolved in the water.

Step-by-step explanation:

Answer: D

Step-by-step explanation:

There is no points I plotted them on a graph and they don't intercept on the graph

Answer:

3. [tex]5\sqrt{3} \\[/tex] m

4. 5 m

Step-by-step explanation:

Just use Pythagorean theorem

Answer:

$127.50

Step-by-step explanation:

15/100 = 0.15

0.15 x 150 = 22.5

150 - 22.5 = 127.5

Answer: See explanation

Step-by-step explanation:

Since Tim's family toured the Astronaut Hall of Fame from 2:05P.M. To 2:45 P.M, the time taken during the tour will be:

= 2.45 pm - 2.05pm

= 40 minutes.

Since Tim's family toured the Astronaut Hall of Fame for 40 minutes, this shows that they spent more than 30 minutes during the tour.

Answer:

the answer would be 3 1/2

Step-by-step explanation:

if you simplify -7/2 it would be -3 1/2, and the opposite of -3 1/2 is 3 1/2.  And from 0-3 there are 6 spaces, so every two spaces counts as 1. Therefore the point would go one spot after positive 3.  

Answer:

Solution given:

base[b]=8m

perpendicular [p]=3m

we have

area of triangle=[tex] \frac{p \times b}{2} [/tex]

=[tex] \frac{3 \times 8}{2} [/tex]=12m²

is your answer

Answer:

12m2

Step-by-step explanation:

Answer:

Explanation down

Step-by-step explanation:

Answer:

1: 7 4/5 2: 5 1/2 3: 17 13/15

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(x)=2(x-2)²-5

f(x)=2(x²-4x+4)-5

f(x)=2x²-8x+3

The Measurement of SRV is 120°

Answer:

x = 2

y = 3

Step-by-step explanation:

add the 2 together and the y-values drop out and you are left with:

8x = 16

x = 2

3(2) + 2y = 12

2y = 6

y = 3

Answer:

A. Yes, it is a triangle and it is unique

Step-by-step explanation:

Those side measurements make a scalene triangle.Triangles with no two equal sides or congruent angles are called scalene triangles. In scalene triangles, each angle and side is completely unique.

Answer:

5

Step-by-step explanation:

17 dogs total all counted up.

17- 5 = 12

5 could have ran away

hope i could help! i tried my best, have a nice day!