Factor x^2-(y-z)^2

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

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = x$ and $b = y - z$ .

$(x + y - z) (x - (y - z))$

Simplify.

Apply the distributive property.

$(x + y - z) (x - y - - z)$

Multiply $- - z$ .

Multiply $- 1$ by $- 1$ .

$(x + y - z) (x - y + 1 z)$

Multiply $z$ by $1$ .

$(x + y - z) (x - y + z)$

Factor x^2-(y-z)^2

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