Algebra Examples

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

Step 1

Multiply the numerator by the reciprocal of the denominator.

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

Step 2

Move the negative in front of the fraction.

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

Step 3

Multiply $- \frac{2 x}{x - y} \cdot \frac{x^{2}}{y}$ .

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Step 3.1

Multiply $\frac{x^{2}}{y}$ by $\frac{2 x}{x - y}$ .

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

Step 3.2

Multiply $x^{2}$ by $x$ by adding the exponents.

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Step 3.2.1

Move $x$ .

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

Step 3.2.2

Multiply $x$ by $x^{2}$ .

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Step 3.2.2.1

Raise $x$ to the power of $1$ .

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

Step 3.2.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Step 3.2.3

Add $1$ and $2$ .

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

Step 4

Move $2$ to the left of $x^{3}$ .

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