Factor y^3-13y^2+40y

$y^{3} - 13 y^{2} + 40 y$

Factor $y$ out of $y^{3} - 13 y^{2} + 40 y$ .

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

$y \cdot y^{2} - 13 y^{2} + 40 y$

Factor $y$ out of $- 13 y^{2}$ .

$y \cdot y^{2} + y (- 13 y) + 40 y$

Factor $y$ out of $40 y$ .

$y \cdot y^{2} + y (- 13 y) + y \cdot 40$

Factor $y$ out of $y \cdot y^{2} + y (- 13 y)$ .

$y (y^{2} - 13 y) + y \cdot 40$

Factor $y$ out of $y (y^{2} - 13 y) + y \cdot 40$ .

$y (y^{2} - 13 y + 40)$

Factor.

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Factor $y^{2} - 13 y + 40$ using the AC method.

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Consider the form $x^{2} + b x + c$ . Find a pair of integers whose product is $c$ and whose sum is $b$ . In this case, whose product is $40$ and whose sum is $- 13$ .

$- 8, - 5$

Write the factored form using these integers.

$y ((y - 8) (y - 5))$

Remove unnecessary parentheses.

$y (y - 8) (y - 5)$

Factor y^3-13y^2+40y

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