Basic Math Examples

$\frac{y^{2}}{y + 3} - \frac{9}{y + 3}$

Step 1

Combine the numerators over the common denominator.

$\frac{y^{2} - 9}{y + 3}$

Step 2

Simplify the numerator.

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Step 2.1

Rewrite $9$ as $3^{2}$ .

$\frac{y^{2} - 3^{2}}{y + 3}$

Step 2.2

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = y$ and $b = 3$ .

$\frac{(y + 3) (y - 3)}{y + 3}$

Step 3

Cancel the common factor of $y + 3$ .

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Step 3.1

Cancel the common factor.

$\frac{(y + 3) (y - 3)}{y + 3}$

Step 3.2

Divide $y - 3$ by $1$ .

$y - 3$