Basic Math Examples

$(- 9 c^{3} + 3 \cdot c^{2} - 15 c) \div (- 3 c)$

Step 1

Rewrite the division as a fraction.

$\frac{- 9 c^{3} + 3 \cdot c^{2} - 15 c}{- 3 c}$

Step 2

Factor $3 c$ out of $- 9 c^{3} + 3 \cdot c^{2} - 15 c$ .

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Step 2.1

Factor $3 c$ out of $- 9 c^{3}$ .

$\frac{3 c (- 3 c^{2}) + 3 \cdot c^{2} - 15 c}{- 3 c}$

Step 2.2

Factor $3 c$ out of $3 \cdot c^{2}$ .

$\frac{3 c (- 3 c^{2}) + 3 c (c) - 15 c}{- 3 c}$

Step 2.3

Factor $3 c$ out of $- 15 c$ .

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

Step 2.4

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

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

Step 2.5

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

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

Step 3

Cancel the common factor of $3$ and $- 3$ .

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Step 3.1

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

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

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $3$ out of $- 3 c$ .

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

Step 3.2.2

Cancel the common factor.

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

Step 3.2.3

Rewrite the expression.

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

Step 4

Cancel the common factor of $c$ .

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Step 4.1

Cancel the common factor.

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

Step 4.2

Rewrite the expression.

$\frac{- 3 c^{2} + c - 5}{- 1}$

Step 4.3

Move the negative one from the denominator of $\frac{- 3 c^{2} + c - 5}{- 1}$ .

$- 1 \cdot (- 3 c^{2} + c - 5)$

Step 5

Rewrite $- 1 \cdot (- 3 c^{2} + c - 5)$ as $- (- 3 c^{2} + c - 5)$ .

$- (- 3 c^{2} + c - 5)$

Step 6

Apply the distributive property.

$- (- 3 c^{2}) - c - - 5$

Step 7

Simplify.

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Step 7.1

Multiply $- 3$ by $- 1$ .

$3 c^{2} - c - - 5$

Step 7.2

Multiply $- 1$ by $- 5$ .

$3 c^{2} - c + 5$