Factor a^3y-ay^3 - Math App

$a^{3} y - a y^{3}$

Factor $a y$ out of $a^{3} y - a y^{3}$ .

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

$a y (a^{2}) - a y^{3}$

Factor $a y$ out of $- a y^{3}$ .

$a y (a^{2}) + a y (- 1 y^{2})$

Factor $a y$ out of $a y (a^{2}) + a y (- 1 y^{2})$ .

$a y (a^{2} - 1 y^{2})$

Factor.

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

$a y ((a + y) (a - y))$

Remove unnecessary parentheses.

$a y (a + y) (a - y)$

Factor a^3y-ay^3