Basic Math Examples

$18 y^{3} - 63 y - 9 y$

Step 1

Subtract $9 y$ from $- 63 y$ .

$18 y^{3} - 72 y$

Step 2

Factor $18 y$ out of $18 y^{3} - 72 y$ .

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Step 2.1

Factor $18 y$ out of $18 y^{3}$ .

$18 y (y^{2}) - 72 y$

Step 2.2

Factor $18 y$ out of $- 72 y$ .

$18 y (y^{2}) + 18 y (- 4)$

Step 2.3

Factor $18 y$ out of $18 y (y^{2}) + 18 y (- 4)$ .

$18 y (y^{2} - 4)$

Step 3

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

$18 y (y^{2} - 2^{2})$

Step 4

Factor.

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Step 4.1

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 $b = 2$ .

$18 y ((y + 2) (y - 2))$

Step 4.2

Remove unnecessary parentheses.

$18 y (y + 2) (y - 2)$