Algebra Examples

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

Step 1

To write $y x$ as a fraction with a common denominator, multiply by $\frac{x y}{x y}$ .

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

Step 2

Simplify terms.

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Step 2.1

Combine $y x$ and $\frac{x y}{x y}$ .

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

Step 2.2

Combine the numerators over the common denominator.

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

Step 3

Simplify the numerator.

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Step 3.1

Multiply $y$ by $y$ by adding the exponents.

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Step 3.1.1

Move $y$ .

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

Step 3.1.2

Multiply $y$ by $y$ .

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

Step 3.2

Multiply $x$ by $x$ by adding the exponents.

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Step 3.2.1

Move $x$ .

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

Step 3.2.2

Multiply $x$ by $x$ .

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