Algebra Examples

$\frac{1}{x y^{2}} + x$

Step 1

To write $x$ as a fraction with a common denominator, multiply by $\frac{x y^{2}}{x y^{2}}$ .

$\frac{1}{x y^{2}} + x \cdot \frac{x y^{2}}{x y^{2}}$

Step 2

Combine $x$ and $\frac{x y^{2}}{x y^{2}}$ .

$\frac{1}{x y^{2}} + \frac{x (x y^{2})}{x y^{2}}$

Step 3

Combine the numerators over the common denominator.

$\frac{1 + x (x y^{2})}{x y^{2}}$

Step 4

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

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Step 4.1

Move $x$ .

$\frac{1 + x \cdot x y^{2}}{x y^{2}}$

Step 4.2

Multiply $x$ by $x$ .

$\frac{1 + x^{2} y^{2}}{x y^{2}}$