Basic Math Examples

$\frac{- 48 p^{6} + 120 p^{5}}{- 8 p^{5}}$

Step 1

Factor $24 p^{5}$ out of $- 48 p^{6} + 120 p^{5}$ .

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Step 1.1

Factor $24 p^{5}$ out of $- 48 p^{6}$ .

$\frac{24 p^{5} (- 2 p) + 120 p^{5}}{- 8 p^{5}}$

Step 1.2

Factor $24 p^{5}$ out of $120 p^{5}$ .

$\frac{24 p^{5} (- 2 p) + 24 p^{5} (5)}{- 8 p^{5}}$

Step 1.3

Factor $24 p^{5}$ out of $24 p^{5} (- 2 p) + 24 p^{5} (5)$ .

$\frac{24 p^{5} (- 2 p + 5)}{- 8 p^{5}}$

Step 2

Cancel the common factor of $24$ and $- 8$ .

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Step 2.1

Factor $8$ out of $24 p^{5} (- 2 p + 5)$ .

$\frac{8 (3 p^{5} (- 2 p + 5))}{- 8 p^{5}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $8$ out of $- 8 p^{5}$ .

$\frac{8 (3 p^{5} (- 2 p + 5))}{8 (- p^{5})}$

Step 2.2.2

Cancel the common factor.

$\frac{8 (3 p^{5} (- 2 p + 5))}{8 (- p^{5})}$

Step 2.2.3

Rewrite the expression.

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

Step 3

Cancel the common factor of $p^{5}$ .

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Step 3.1

Cancel the common factor.

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

Step 3.2

Rewrite the expression.

$\frac{3 (- 2 p + 5)}{- 1}$

Step 3.3

Move the negative one from the denominator of $\frac{3 (- 2 p + 5)}{- 1}$ .

$- 1 \cdot (3 (- 2 p + 5))$

Step 4

Rewrite $- 1 \cdot (3 (- 2 p + 5))$ as $- (3 (- 2 p + 5))$ .

$- (3 (- 2 p + 5))$

Step 5

Apply the distributive property.

$- (3 (- 2 p) + 3 \cdot 5)$

Step 6

Multiply.

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Step 6.1

Multiply $- 2$ by $3$ .

$- (- 6 p + 3 \cdot 5)$

Step 6.2

Multiply $3$ by $5$ .

$- (- 6 p + 15)$

Step 7

Apply the distributive property.

$- (- 6 p) - 1 \cdot 15$

Step 8

Multiply.

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Step 8.1

Multiply $- 6$ by $- 1$ .

$6 p - 1 \cdot 15$

Step 8.2

Multiply $- 1$ by $15$ .

$6 p - 15$