Basic Math Examples

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

Step 1

Rewrite the division as a fraction.

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

Step 2

Cancel the common factor of $15$ and $- 3$ .

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Step 2.1

Factor $3$ out of $15 c$ .

$- 9 c^{3} + 3 c^{2} - \frac{3 (5 c)}{- 3 c}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

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

$- 9 c^{3} + 3 c^{2} - \frac{3 (5 c)}{3 (- c)}$

Step 2.2.2

Cancel the common factor.

$- 9 c^{3} + 3 c^{2} - \frac{3 (5 c)}{3 (- c)}$

Step 2.2.3

Rewrite the expression.

$- 9 c^{3} + 3 c^{2} - \frac{5 c}{- c}$

$- 9 c^{3} + 3 c^{2} - \frac{5 c}{- c}$

$- 9 c^{3} + 3 c^{2} - \frac{5 c}{- c}$

Step 3

Cancel the common factor of $c$ .

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Step 3.1

Cancel the common factor.

$- 9 c^{3} + 3 c^{2} - \frac{5 c}{- c}$

Step 3.2

Rewrite the expression.

$- 9 c^{3} + 3 c^{2} - \frac{5}{- 1}$

Step 3.3

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

$- 9 c^{3} + 3 c^{2} - (- 1 \cdot 5)$

$- 9 c^{3} + 3 c^{2} - (- 1 \cdot 5)$

Step 4

Multiply $- (- 1 \cdot 5)$ .

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Step 4.1

Multiply $- 1$ by $5$ .

$- 9 c^{3} + 3 c^{2} - - 5$

Step 4.2

Multiply $- 1$ by $- 5$ .

$- 9 c^{3} + 3 c^{2} + 5$

$- 9 c^{3} + 3 c^{2} + 5$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$