Question

How do you factor `x^3-8x^2+16x`?

Answer 1

`x(x-4)^2`

Explanation:

`x(x^2-8x+16)=`
`x(x-4)(x-4)=`
`x(x-4)^2`

It was factored this way because x can be factored out since it is a common factor. `-4+(-4)=-8` and `-4*(-4)=16`, so you write `x-4` for both. It can be simplified by squaring `x-4`.