Question

How do you factor `x^4-y^4`?

Answer 1

`=(x^2+y^2)(x+y)((x-y)`

Explanation:

Since formula `a^2-b^2=(a+b)(a-b)` can be applied here.
`x^4-y^4`
`=(x^2)^2-(y^2)^2`
`=(x^2+y^2)(x^2-y^2)`
`=(x^2+y^2)(x+y)((x-y)`