Algebra Examples

$2 x (y^{3} - 4 y^{2} + 5 y)$

Step 1

Factor $y$ out of $y^{3} - 4 y^{2} + 5 y$ .

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Step 1.1

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

$2 x (y \cdot y^{2} - 4 y^{2} + 5 y)$

Step 1.2

Factor $y$ out of $- 4 y^{2}$ .

$2 x (y \cdot y^{2} + y (- 4 y) + 5 y)$

Step 1.3

Factor $y$ out of $5 y$ .

$2 x (y \cdot y^{2} + y (- 4 y) + y \cdot 5)$

Step 1.4

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

$2 x (y (y^{2} - 4 y) + y \cdot 5)$

Step 1.5

Factor $y$ out of $y (y^{2} - 4 y) + y \cdot 5$ .

$2 x (y (y^{2} - 4 y + 5))$

$2 x (y (y^{2} - 4 y + 5))$

Step 2

Remove unnecessary parentheses.

$2 x y (y^{2} - 4 y + 5)$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$