Algebra Examples

$\frac{5 x y + 3 x^{2} y^{2}}{x y^{3}}$

Step 1

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

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Step 1.1

Factor $x y$ out of $5 x y$ .

$\frac{x y (5) + 3 x^{2} y^{2}}{x y^{3}}$

Step 1.2

Factor $x y$ out of $3 x^{2} y^{2}$ .

$\frac{x y (5) + x y (3 x y)}{x y^{3}}$

Step 1.3

Factor $x y$ out of $x y (5) + x y (3 x y)$ .

$\frac{x y (5 + 3 x y)}{x y^{3}}$

$\frac{x y (5 + 3 x y)}{x y^{3}}$

Step 2

Cancel the common factor of $x$ .

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Step 2.1

Cancel the common factor.

$\frac{x y (5 + 3 x y)}{x y^{3}}$

Step 2.2

Rewrite the expression.

$\frac{y (5 + 3 x y)}{y^{3}}$

$\frac{y (5 + 3 x y)}{y^{3}}$

Step 3

Cancel the common factors.

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Step 3.1

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

$\frac{y (5 + 3 x y)}{y \cdot y^{2}}$

Step 3.2

Cancel the common factor.

$\frac{y (5 + 3 x y)}{y \cdot y^{2}}$

Step 3.3

Rewrite the expression.

$\frac{5 + 3 x y}{y^{2}}$

$\frac{5 + 3 x y}{y^{2}}$

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