Algebra Examples

$\frac{x + 6}{5 x^{2}} \cdot \frac{x + 2}{4 x^{3}}$

Step 1

Multiply $\frac{x + 6}{5 x^{2}}$ by $\frac{x + 2}{4 x^{3}}$ .

$\frac{(x + 6) (x + 2)}{5 x^{2} (4 x^{3})}$

Step 2

Multiply $4$ by $5$ .

$\frac{(x + 6) (x + 2)}{20 x^{2} x^{3}}$

Step 3

Multiply $x^{2}$ by $x^{3}$ by adding the exponents.

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Step 3.1

Move $x^{3}$ .

$\frac{(x + 6) (x + 2)}{20 (x^{3} x^{2})}$

Step 3.2

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

$\frac{(x + 6) (x + 2)}{20 x^{3 + 2}}$

Step 3.3

Add $3$ and $2$ .

$\frac{(x + 6) (x + 2)}{20 x^{5}}$