Precalculus Examples

$\frac{12 x^{3}}{25} \cdot \frac{40}{9 x^{2}}$

Step 1

Combine.

$\frac{12 x^{3} \cdot 40}{25 (9 x^{2})}$

Step 2

Cancel the common factor of $12$ and $9$ .

Tap for more steps...

Step 2.1

Factor $3$ out of $12 x^{3} \cdot 40$ .

$\frac{3 (4 x^{3} \cdot 40)}{25 (9 x^{2})}$

Step 2.2

Cancel the common factors.

Tap for more steps...

Step 2.2.1

Factor $3$ out of $25 (9 x^{2})$ .

$\frac{3 (4 x^{3} \cdot 40)}{3 (25 (3 x^{2}))}$

Step 2.2.2

Cancel the common factor.

$\frac{3 (4 x^{3} \cdot 40)}{3 (25 (3 x^{2}))}$

Step 2.2.3

Rewrite the expression.

$\frac{4 x^{3} \cdot 40}{25 (3 x^{2})}$

$\frac{4 x^{3} \cdot 40}{25 (3 x^{2})}$

$\frac{4 x^{3} \cdot 40}{25 (3 x^{2})}$

Step 3

Cancel the common factor of $x^{3}$ and $x^{2}$ .

Tap for more steps...

Step 3.1

Factor $x^{2}$ out of $4 x^{3} \cdot 40$ .

$\frac{x^{2} (4 x \cdot 40)}{25 (3 x^{2})}$

Step 3.2

Cancel the common factors.

Tap for more steps...

Step 3.2.1

Factor $x^{2}$ out of $25 (3 x^{2})$ .

$\frac{x^{2} (4 x \cdot 40)}{x^{2} (25 \cdot (3))}$

Step 3.2.2

Cancel the common factor.

$\frac{x^{2} (4 x \cdot 40)}{x^{2} (25 \cdot (3))}$

Step 3.2.3

Rewrite the expression.

$\frac{4 x \cdot 40}{25 \cdot (3)}$

$\frac{4 x \cdot 40}{25 \cdot (3)}$

$\frac{4 x \cdot 40}{25 \cdot (3)}$

Step 4

Cancel the common factor of $40$ and $25$ .

Tap for more steps...

Step 4.1

Factor $5$ out of $4 x \cdot 40$ .

$\frac{5 (4 x \cdot 8)}{25 \cdot (3)}$

Step 4.2

Cancel the common factors.

Tap for more steps...

Step 4.2.1

Factor $5$ out of $25 \cdot (3)$ .

$\frac{5 (4 x \cdot 8)}{5 (5 \cdot 3)}$

Step 4.2.2

Cancel the common factor.

$\frac{5 (4 x \cdot 8)}{5 (5 \cdot 3)}$

Step 4.2.3

Rewrite the expression.

$\frac{4 x \cdot 8}{5 \cdot 3}$

$\frac{4 x \cdot 8}{5 \cdot 3}$

$\frac{4 x \cdot 8}{5 \cdot 3}$

Step 5

Multiply.

Tap for more steps...

Step 5.1

Multiply $8$ by $4$ .

$\frac{32 x}{5 \cdot 3}$

Step 5.2

Multiply $5$ by $3$ .

$\frac{32 x}{15}$

$\frac{32 x}{15}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$