Question

How do you factor #y= 5x^3 - 20x^2 +20x #?

Answer 1

By taking x as common and then applying middle term splitting

Explanation:

First, take `x` and `5` as common:
`5x^3-20x^2+20x`
`=5x(x^2-4x+4)`

Then by middle term splitting:
`=5x(x^2-4x+4)`
`=5x(x^2-2x-2x+4)`
`=5x(x(x-2)-2(x-2))`
`=5x(x-2)^2`