Question

Is it possible to factor `y=-4x^2+4x-1`? If so, what are the factors?

Answer 1

`-(-2x+1)^2`

Explanation:

`-4x^2+4x-1=-(4x^2-4x+1)`

`(4x^2-4x+1)` corresponds to a notable case of polynoms of second degree:

`a^2+2ab+b^2=(a+b)^2`

with a=-2x and b=1.

So the factorization is :

`-(-2x+1)^2`