Basic Math Examples

$\frac{- 20 p^{3} + 52 p^{2}}{- 4 p^{2}}$

Step 1

Factor $4 p^{2}$ out of $- 20 p^{3} + 52 p^{2}$ .

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Step 1.1

Factor $4 p^{2}$ out of $- 20 p^{3}$ .

$\frac{4 p^{2} (- 5 p) + 52 p^{2}}{- 4 p^{2}}$

Step 1.2

Factor $4 p^{2}$ out of $52 p^{2}$ .

$\frac{4 p^{2} (- 5 p) + 4 p^{2} (13)}{- 4 p^{2}}$

Step 1.3

Factor $4 p^{2}$ out of $4 p^{2} (- 5 p) + 4 p^{2} (13)$ .

$\frac{4 p^{2} (- 5 p + 13)}{- 4 p^{2}}$

Step 2

Cancel the common factor of $4$ and $- 4$ .

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Step 2.1

Factor $4$ out of $4 p^{2} (- 5 p + 13)$ .

$\frac{4 (p^{2} (- 5 p + 13))}{- 4 p^{2}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

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

$\frac{4 (p^{2} (- 5 p + 13))}{4 (- p^{2})}$

Step 2.2.2

Cancel the common factor.

$\frac{4 (p^{2} (- 5 p + 13))}{4 (- p^{2})}$

Step 2.2.3

Rewrite the expression.

$\frac{p^{2} (- 5 p + 13)}{- p^{2}}$

Step 3

Cancel the common factor of $p^{2}$ .

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Step 3.1

Cancel the common factor.

$\frac{p^{2} (- 5 p + 13)}{- p^{2}}$

Step 3.2

Rewrite the expression.

$\frac{- 5 p + 13}{- 1}$

Step 3.3

Move the negative one from the denominator of $\frac{- 5 p + 13}{- 1}$ .

$- 1 \cdot (- 5 p + 13)$

Step 4

Rewrite $- 1 \cdot (- 5 p + 13)$ as $- (- 5 p + 13)$ .

$- (- 5 p + 13)$

Step 5

Apply the distributive property.

$- (- 5 p) - 1 \cdot 13$

Step 6

Multiply.

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Step 6.1

Multiply $- 5$ by $- 1$ .

$5 p - 1 \cdot 13$

Step 6.2

Multiply $- 1$ by $13$ .

$5 p - 13$