What is factor (x-y)^2-4z^2 ?

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

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factor (x-y)^2-4z^2

factor

(x - y)^{2} - 4 z^{2}

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

Solution steps

(x - y)^{2} - 4 z^{2}

Simplify

4 z^{2} : (2 z)^{2}

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

Apply Difference of Two Squares Formula:

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

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

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

Apply rule:

(a) = a

(x - y) = x - y

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

2 m^{2} + m

- x^{2} - 3 x + 9 = 0

\frac{- x}{3} = 2

\frac{1}{\frac{24}{25}}

72 x ab - 168 xv + 96 x a - 126 xv b

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