Pre-Algebra Examples

$\frac{16 x^{3} + 12 x^{2} - 20 x}{4 x}$

Step 1

Factor $4 x$ out of $16 x^{3} + 12 x^{2} - 20 x$ .

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Step 1.1

Factor $4 x$ out of $16 x^{3}$ .

$\frac{4 x (4 x^{2}) + 12 x^{2} - 20 x}{4 x}$

Step 1.2

Factor $4 x$ out of $12 x^{2}$ .

$\frac{4 x (4 x^{2}) + 4 x (3 x) - 20 x}{4 x}$

Step 1.3

Factor $4 x$ out of $- 20 x$ .

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

Step 1.4

Factor $4 x$ out of $4 x (4 x^{2}) + 4 x (3 x)$ .

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

Step 1.5

Factor $4 x$ out of $4 x (4 x^{2} + 3 x) + 4 x (- 5)$ .

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

Step 2

Cancel the common factor of $4$ .

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Step 2.1

Cancel the common factor.

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

Step 2.2

Rewrite the expression.

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

Step 3

Cancel the common factor of $x$ .

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Step 3.1

Cancel the common factor.

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

Step 3.2

Divide $4 x^{2} + 3 x - 5$ by $1$ .

$4 x^{2} + 3 x - 5$