Algebra Examples

${(3 x + y)}^{2} - 9$

Step 1

Rewrite $9$ as $3^{2}$ .

${(3 x + y)}^{2} - 3^{2}$

Step 2

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 3 x + y$ and $b = 3$ .

$(3 x + y + 3) (3 x + y - 3)$