Algebra Examples

$\frac{a}{a - b} \cdot \frac{a}{b}$

Step 1

Multiply $\frac{a}{a - b} \cdot \frac{a}{b}$ .

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Step 1.1

Multiply $\frac{a}{a - b}$ by $\frac{a}{b}$ .

$\frac{a \cdot a}{(a - b) b}$

Step 1.2

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

$\frac{a^{1} a}{(a - b) b}$

Step 1.3

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

$\frac{a^{1} a^{1}}{(a - b) b}$

Step 1.4

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

$\frac{a^{1 + 1}}{(a - b) b}$

Step 1.5

Add $1$ and $1$ .

$\frac{a^{2}}{(a - b) b}$

Step 2

Reorder factors in $\frac{a^{2}}{(a - b) b}$ .

$\frac{a^{2}}{b (a - b)}$