Precalculus Examples

$25 - 16 t^{2}$

Step 1

Rewrite $25$ as $5^{2}$ .

$5^{2} - 16 t^{2}$

Step 2

Rewrite $16 t^{2}$ as ${(4 t)}^{2}$ .

$5^{2} - {(4 t)}^{2}$

Step 3

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 5$ and $b = 4 t$ .

$(5 + 4 t) (5 - (4 t))$

Step 4

Multiply $4$ by $- 1$ .

$(5 + 4 t) (5 - 4 t)$