Basic Math Examples

$- 16 t^{2} + 2704$

Step 1

Factor $- 16$ out of $- 16 t^{2} + 2704$ .

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Step 1.1

Factor $- 16$ out of $- 16 t^{2}$ .

$- 16 (t^{2}) + 2704$

Step 1.2

Factor $- 16$ out of $2704$ .

$- 16 (t^{2}) - 16 (- 169)$

Step 1.3

Factor $- 16$ out of $- 16 (t^{2}) - 16 (- 169)$ .

$- 16 (t^{2} - 169)$

Step 2

Rewrite $169$ as $13^{2}$ .

$- 16 (t^{2} - 13^{2})$

Step 3

Factor.

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Step 3.1

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = t$ and $b = 13$ .

$- 16 ((t + 13) (t - 13))$

Step 3.2

Remove unnecessary parentheses.

$- 16 (t + 13) (t - 13)$