Acube with side length 4p is stacked on another cube with side length 2q^2. what is the total volume of the cubes in factored form?

Step-by-step explanation:

We have been given that a cube with side length 4p is stacked on another cube with side length . We are asked to find the total volume of cubes in factored form.

We know that volume of cube is , where a represents length of each side of cube.

The sum of cubes would be:

Now, we will use sum of cubes formula to factor the volume of both cubes.

We can see that in the expression for volume of cubes and .  

Simplifying our given expression, we will get:

Therefore, the total volume of the cubes would be .

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

-4

step-by-step explanation:

do 6-10=

if u need it to be negative.