All categories

3 years ago

Preform the indicated operation. (w^3+64) divided (4+w)

Mathematics

1 answer:

KIM [24]3 years ago

4 0

Answer:

$\bold{w^2-4w+16}$

Step-by-step explanation:

Rewrite Equation

$\bold{\frac{w^3+64}{4+w}}$

Factor $\bold{w^3+64}$

$\bold{\left(w+4\right)\left(w^2-4w+16\right)}$

Rewrite Equation

$\bold{\frac{\left(w+4\right)\left(w^2-4w+16\right)}{4+w}}$

Cancel The Common Factor: $\bold{w+4}$

$\bold{w^2-4w+16}$

You might be interested in

What is 9/16 x 2/3 (show ur work) thanks

Ilya [14]

Answer:

$\displaystyle{ \frac{9}{16} \times \frac{2}{3} }$

$\displaystyle{ \frac{9 \times 2}{16 \times 3} }$

$\displaystyle{ \frac{18}{48} }$

$\displaystyle{ \frac{ \cancel2 \times \cancel3 \times 3}{2 \times \cancel2 \times 2 \times 2 \times \cancel3} }$

$\displaystyle{ \frac{3}{2 \times 2 \times 2} }$

$\displaystyle{ \frac{3}{8} }$

6 0

2 years ago

The length of a rectangle is 6m longer than its width. If the perimeter of the rectangle is 52m, find its area

sveticcg [70]

If length is x, then width is 6+x
Perimeter = 2*(x + 6+x) = 52 
2*6 + 2*2x = 52 
4x = 52 - 12 = 40 
x = 40/4 = 10 

Area = length*width = 10*(6+10) 
Area = 10*16 = 160 meter square

4 0

3 years ago

Which expression represents 5 more than one-third y

Jlenok [28]

*Five more*

*One-third y*

1/3y

D. 1/3y+5

Hope this helps!!

8 0

3 years ago

Read 2 more answers

What is the % change in a gallon of gas if it changed from3.499 to 3.079 per gallon

poizon [28]

8.57 change. 3.079 - 3.4999. divided by 3.499. multply by 100

6 0

3 years ago

A tree cast a shadow 21 meters long

Delicious77 [7]

Step-by-step explanation:

I do not understand .____.

5 0

2 years ago