Basic Math Examples

$\frac{14 p^{5} - 14 p^{6} - 8 p^{4} + 12 p^{3}}{2 p^{3}}$

Step 1

Simplify the numerator.

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Step 1.1

Factor $2 p^{3}$ out of $14 p^{5} - 14 p^{6} - 8 p^{4} + 12 p^{3}$ .

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Step 1.1.1

Factor $2 p^{3}$ out of $14 p^{5}$ .

$\frac{2 p^{3} (7 p^{2}) - 14 p^{6} - 8 p^{4} + 12 p^{3}}{2 p^{3}}$

Step 1.1.2

Factor $2 p^{3}$ out of $- 14 p^{6}$ .

$\frac{2 p^{3} (7 p^{2}) + 2 p^{3} (- 7 p^{3}) - 8 p^{4} + 12 p^{3}}{2 p^{3}}$

Step 1.1.3

Factor $2 p^{3}$ out of $- 8 p^{4}$ .

$\frac{2 p^{3} (7 p^{2}) + 2 p^{3} (- 7 p^{3}) + 2 p^{3} (- 4 p) + 12 p^{3}}{2 p^{3}}$

Step 1.1.4

Factor $2 p^{3}$ out of $12 p^{3}$ .

$\frac{2 p^{3} (7 p^{2}) + 2 p^{3} (- 7 p^{3}) + 2 p^{3} (- 4 p) + 2 p^{3} (6)}{2 p^{3}}$

Step 1.1.5

Factor $2 p^{3}$ out of $2 p^{3} (7 p^{2}) + 2 p^{3} (- 7 p^{3})$ .

$\frac{2 p^{3} (7 p^{2} - 7 p^{3}) + 2 p^{3} (- 4 p) + 2 p^{3} (6)}{2 p^{3}}$

Step 1.1.6

Factor $2 p^{3}$ out of $2 p^{3} (7 p^{2} - 7 p^{3}) + 2 p^{3} (- 4 p)$ .

$\frac{2 p^{3} (7 p^{2} - 7 p^{3} - 4 p) + 2 p^{3} (6)}{2 p^{3}}$

Step 1.1.7

Factor $2 p^{3}$ out of $2 p^{3} (7 p^{2} - 7 p^{3} - 4 p) + 2 p^{3} (6)$ .

$\frac{2 p^{3} (7 p^{2} - 7 p^{3} - 4 p + 6)}{2 p^{3}}$

Step 1.2

Reorder terms.

$\frac{2 p^{3} (- 7 p^{3} + 7 p^{2} - 4 p + 6)}{2 p^{3}}$

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

Cancel the common factor of $2$ .

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Step 2.1.1

Cancel the common factor.

$\frac{2 p^{3} (- 7 p^{3} + 7 p^{2} - 4 p + 6)}{2 p^{3}}$

Step 2.1.2

Rewrite the expression.

$\frac{p^{3} (- 7 p^{3} + 7 p^{2} - 4 p + 6)}{p^{3}}$

Step 2.2

Cancel the common factor of $p^{3}$ .

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Step 2.2.1

Cancel the common factor.

$\frac{p^{3} (- 7 p^{3} + 7 p^{2} - 4 p + 6)}{p^{3}}$

Step 2.2.2

Divide $- 7 p^{3} + 7 p^{2} - 4 p + 6$ by $1$ .

$- 7 p^{3} + 7 p^{2} - 4 p + 6$