How do you factor something like 8x^6+64?

[appplejack]

Homework Statement

I need to factor the following.
8x^6+64?

Homework Equations

The Attempt at a Solution

I really have no idea. I can pull 8 out and write 8(x^6)+64 but it doesn't get father than that.

 

[Mark44]

Homework Statement

I need to factor the following.
8x^6+64?

Homework Equations

The Attempt at a Solution

I really have no idea. I can pull 8 out and write 8(x^6)+64 but it doesn't get father than that.

You can factor this as a sum of cubes.

Here are the formulas:

a³ + b³ = (a + b)(a² -ab + b²)
a³ - b³ = (a - b)(a² +ab + b²)

 

[Mark44]

I can pull 8 out and write 8(x^6)+64 but it doesn't get father than that.

If you're going to do that, pull out 8 from both terms.