Question

Can someone please help me with this?
factoring a sum of cubes

Answer 1

How am I supposed to write the expression here?

Answer 2

One of the cubes has an edge of 1 and the other has an edge of x.

As given in the problem, the volume of a cube is length times width times height.
Because all those measures are the same in a cube, the volume of a cube is the cube of the measure of one of its edges.

Answer 3

Cube I with edge of l foot has volume 1*1*1 = 1 cubic foot.

Cube 2 with edge x has volume x*x*x = x^3 cubic feet.

Answer 4

Total volume = 1 + x^3 or V = x^3 + 1.

@quickstudent The title of the thread is factoring a sum of cubes. Is there another part to this?

Answer 5

Yes, there is. Here's the whole question.

Answer 6

To factor x^3 + 1, take a look at the attached pattern for doing that.

Answer 7

Follow the pattern of the first one which is the sum of two cubes.

Answer 8

Be brave and see what you can do.

x^3 + 1 = (x + 1) * ( ? - ? + ?)

Answer 9

Okay, this is what I got now

Answer 10

@quickstudent Looks good.