What is factor 4xy-4x^2-y^2 ?

The solution to factor 4xy-4x^2-y^2 is -(2x-y)^2

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factor 4xy-4x^2-y^2

factor

4 x y - 4 x^{2} - y^{2}

- (2 x - y)^{2}

Solution steps

4 x y - 4 x^{2} - y^{2}

Group by common factors

= - 4 x^{2} + 4 x y - y^{2}

Break the expression into groups

= (- 4 x^{2} + 2 x y) + (2 x y - y^{2})

Factor out

- 2 x

from

- 4 x^{2} + 2 x y : - 2 x (2 x - y)

Factor out

y

from

2 x y - y^{2} : y (2 x - y)

= - 2 x (2 x - y) + y (2 x - y)

Factor out common term

2 x - y

= (2 x - y) (- 2 x + y)

Simplify

(2 x - y) (- 2 x + y) : - (2 x - y)^{2}

= - (2 x - y)^{2}

u^{4} - 1

\frac{3 ( x - h ) ^{2} - 3 x ^{2}}{h}

(w - 4)^{2}

2 x (6 x)

(x + 4)^{- 2}