Question

Factor completely 2x^4-32

Answer 1

`2(x^2+4)(x-2)(x+2)`

Explanation:

1. take out GCF

`2(x^4-16)`

2. perfect squares/difference of squares

since
`(x^4-16)` is a perfect square, you can divide it to
`(x^2-4)` and
`(x^2+4)`

so
`2(x^2+4)(x^2-4)\\`

3. difference of squares (again)

`(x^2-4) \\` can be divided again to
`(x+2)(x-2)\\`

so the answer is
`2(x^2+4)(x-2)(x+2)`