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

Jan 27, 2016

$- {\left(- 2 x + 1\right)}^{2}$

#### Explanation:

$- 4 {x}^{2} + 4 x - 1 = - \left(4 {x}^{2} - 4 x + 1\right)$

$\left(4 {x}^{2} - 4 x + 1\right)$ corresponds to a notable case of polynoms of second degree:

${a}^{2} + 2 a b + {b}^{2} = {\left(a + b\right)}^{2}$

with a=-2x and b=1.

So the factorization is :

$- {\left(- 2 x + 1\right)}^{2}$