Basic Math Examples

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

Step 1

Simplify the numerator.

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Step 1.1

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

$\frac{t^{2} - 2^{2}}{t + 2}$

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 $b = 2$ .

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

Step 2

Cancel the common factor of $t + 2$ .

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Step 2.1

Cancel the common factor.

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

Step 2.2

Divide $t - 2$ by $1$ .

$t - 2$