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

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

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factor x^2-y^2+4y-4

factor

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

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

Solution steps

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

Factor

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

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

Apply Difference of Two Squares Formula:

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

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

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

Simplify

(x + (y - 2)) (x - (y - 2)) : (x + y - 2) (x - y + 2)

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

2 (\frac{1}{2})^{- 2}

9 v - 6 w + v + v + v

\frac{4}{15} - 3

\frac{256}{6}

(\times (- 5))^{2}

What is factor x^2-y^2+4y-4 ?
The solution to factor x^2-y^2+4y-4 is (x+y-2)(x-y+2)