Precalculus Examples

$(\frac{2 x + 3}{3 x - 2}) (\frac{4 x}{3 x - 2})$

Step 1

Multiply $(\frac{2 x + 3}{3 x - 2}) (\frac{4 x}{3 x - 2})$ .

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Step 1.1

Multiply $\frac{2 x + 3}{3 x - 2}$ by $\frac{4 x}{3 x - 2}$ .

$\frac{(2 x + 3) (4 x)}{(3 x - 2) (3 x - 2)}$

Step 1.2

Raise $3 x - 2$ to the power of $1$ .

$\frac{(2 x + 3) (4 x)}{{(3 x - 2)}^{1} (3 x - 2)}$

Step 1.3

Raise $3 x - 2$ to the power of $1$ .

$\frac{(2 x + 3) (4 x)}{{(3 x - 2)}^{1} {(3 x - 2)}^{1}}$

Step 1.4

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

$\frac{(2 x + 3) (4 x)}{{(3 x - 2)}^{1 + 1}}$

Step 1.5

Add $1$ and $1$ .

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

Step 2

Move $4$ to the left of $2 x + 3$ .

$\frac{4 \cdot (2 x + 3) x}{{(3 x - 2)}^{2}}$

Step 3

Reorder factors in $\frac{4 (2 x + 3) x}{{(3 x - 2)}^{2}}$ .

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