Basic Math Examples

$25 a^{2} - 64 b^{2}$

Step 1

Rewrite $25 a^{2}$ as ${(5 a)}^{2}$ .

${(5 a)}^{2} - 64 b^{2}$

Step 2

Rewrite $64 b^{2}$ as ${(8 b)}^{2}$ .

${(5 a)}^{2} - {(8 b)}^{2}$

Step 3

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 5 a$ and $b = 8 b$ .

$(5 a + 8 b) (5 a - (8 b))$

Step 4

Multiply $8$ by $- 1$ .

$(5 a + 8 b) (5 a - 8 b)$