Question

Which two of the following expressions are factors of a4 - 32a2 + 256

Answer 1

We need to factor in the next given expression:

`a^4-32a^2+256`

Now, set u=a²

Then, we can rewrite the expression as:

`u^2-32u+265`

The expression can be factor using the difference of squares:

`=(u-16)(u+16)`

Use a²=u

`=(a^2-16)(a^2+16)`

It can be simplified as:

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

Hence, the factors are a+4 and a-4.