Algebra Examples

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

Step 1

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

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

Step 2

Simplify.

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Step 2.1

Add $- 3 y$ and $y$ .

$(x - 2 y) (x - 3 y - y)$

Step 2.2

Subtract $y$ from $- 3 y$ .

$(x - 2 y) (x - 4 y)$