Algebra Examples

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

Step 1

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 $b = y + z$ .

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

Step 2

Apply the distributive property.

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