Linear Algebra Examples

$8 x y - 4 \cdot (2 y^{2})$

Step 1

Remove parentheses.

$8 x y - 4 \cdot 2 y^{2}$

Step 2

Factor $4 y$ out of $8 x y - 4 \cdot 2 y^{2}$ .

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Step 2.1

Factor $4 y$ out of $8 x y$ .

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

Step 2.2

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

$4 y (2 x) + 4 y (- 1 \cdot 2 y)$

Step 2.3

Factor $4 y$ out of $4 y (2 x) + 4 y (- 1 \cdot 2 y)$ .

$4 y (2 x - 1 \cdot 2 y)$

$4 y (2 x - 1 \cdot 2 y)$

Step 3

Multiply $- 1$ by $2$ .

$4 y (2 x - 2 y)$

Step 4

Factor.

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Step 4.1

Factor $2$ out of $2 x - 2 y$ .

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Step 4.1.1

Factor $2$ out of $2 x$ .

$4 y (2 (x) - 2 y)$

Step 4.1.2

Factor $2$ out of $- 2 y$ .

$4 y (2 (x) + 2 (- y))$

Step 4.1.3

Factor $2$ out of $2 (x) + 2 (- y)$ .

$4 y (2 (x - y))$

$4 y (2 (x - y))$

Step 4.2

Remove unnecessary parentheses.

$4 y \cdot 2 (x - y)$

$4 y \cdot 2 (x - y)$

Step 5

Multiply $2$ by $4$ .

$8 y (x - y)$

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