Factor 144h^2-49i^2

$144 h^{2} - 49 i^{2}$

Step 1

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

${(12 h)}^{2} - 49 i^{2}$

Step 2

Rewrite $49 i^{2}$ as ${(7 i)}^{2}$ .

${(12 h)}^{2} - {(7 i)}^{2}$

Step 3

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 12 h$ and $b = 7 i$ .

$(12 h + 7 i) (12 h - (7 i))$

Step 4

Multiply $7$ by $- 1$ .

$(12 h + 7 i) (12 h - 7 i)$

Factor 144h^2-49i^2

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