Algebra Examples

$\frac{7 x}{x - 4} \cdot \frac{x}{x + 7}$

Step 1

Multiply $\frac{7 x}{x - 4}$ by $\frac{x}{x + 7}$ .

$\frac{7 x \cdot x}{(x - 4) (x + 7)}$

Step 2

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

$\frac{7 (x^{1} x)}{(x - 4) (x + 7)}$

Step 3

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

$\frac{7 (x^{1} x^{1})}{(x - 4) (x + 7)}$

Step 4

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

$\frac{7 x^{1 + 1}}{(x - 4) (x + 7)}$

Step 5

Add $1$ and $1$ .

$\frac{7 x^{2}}{(x - 4) (x + 7)}$