Algebra Examples

$\frac{2 x}{3} \cdot \frac{x^{3}}{6 x - 8}$

Step 1

Factor $2$ out of $6 x - 8$ .

Tap for more steps...

Step 1.1

Factor $2$ out of $6 x$ .

$\frac{2 x}{3} \cdot \frac{x^{3}}{2 (3 x) - 8}$

Step 1.2

Factor $2$ out of $- 8$ .

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

Step 1.3

Factor $2$ out of $2 (3 x) + 2 (- 4)$ .

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

Step 2

Combine.

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

Step 3

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

Tap for more steps...

Step 3.1

Move $x^{3}$ .

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

Step 3.2

Multiply $x^{3}$ by $x$ .

Tap for more steps...

Step 3.2.1

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

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

Step 3.2.2

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

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

Step 3.3

Add $3$ and $1$ .

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

Step 4

Cancel the common factor of $2$ .

Tap for more steps...

Step 4.1

Cancel the common factor.

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

Step 4.2

Rewrite the expression.

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