Factor 144y^2-121z^2

$144 y^{2} - 121 z^{2}$

Rewrite $144 y^{2}$ as ${(12 y)}^{2}$ .

${(12 y)}^{2} - 121 z^{2}$

Rewrite $121 z^{2}$ as ${(11 z)}^{2}$ .

${(12 y)}^{2} - {(11 z)}^{2}$

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 12 y$ and $b = 11 z$ .

$(12 y + 11 z) (12 y - (11 z))$

Multiply $11$ by $- 1$ .

$(12 y + 11 z) (12 y - 11 z)$

Factor 144y^2-121z^2

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