Basic Math Examples

$\frac{t^{2} - 16}{{(t + 4)}^{2}}$

Step 1

Simplify the numerator.

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Step 1.1

Rewrite $16$ as $4^{2}$ .

$\frac{t^{2} - 4^{2}}{{(t + 4)}^{2}}$

Step 1.2

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 $b = 4$ .

$\frac{(t + 4) (t - 4)}{{(t + 4)}^{2}}$

Step 2

Cancel the common factors.

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Step 2.1

Factor $t + 4$ out of ${(t + 4)}^{2}$ .

$\frac{(t + 4) (t - 4)}{(t + 4) (t + 4)}$

Step 2.2

Cancel the common factor.

$\frac{(t + 4) (t - 4)}{(t + 4) (t + 4)}$

Step 2.3

Rewrite the expression.

$\frac{t - 4}{t + 4}$