Algebra Examples

$\frac{2 x y + 4 y^{2}}{x^{2} + 2 x y}$

Step 1

Factor $2 y$ out of $2 x y + 4 y^{2}$ .

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Step 1.1

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

$\frac{2 y (x) + 4 y^{2}}{x^{2} + 2 x y}$

Step 1.2

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

$\frac{2 y (x) + 2 y (2 y)}{x^{2} + 2 x y}$

Step 1.3

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

$\frac{2 y (x + 2 y)}{x^{2} + 2 x y}$

$\frac{2 y (x + 2 y)}{x^{2} + 2 x y}$

Step 2

Factor $x$ out of $x^{2} + 2 x y$ .

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Step 2.1

Factor $x$ out of $x^{2}$ .

$\frac{2 y (x + 2 y)}{x \cdot x + 2 x y}$

Step 2.2

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

$\frac{2 y (x + 2 y)}{x \cdot x + x (2 y)}$

Step 2.3

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

$\frac{2 y (x + 2 y)}{x (x + 2 y)}$

$\frac{2 y (x + 2 y)}{x (x + 2 y)}$

Step 3

Cancel the common factor of $x + 2 y$ .

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Step 3.1

Cancel the common factor.

$\frac{2 y (x + 2 y)}{x (x + 2 y)}$

Step 3.2

Rewrite the expression.

$\frac{2 y}{x}$

$\frac{2 y}{x}$

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