Basic Math Examples

$(- 3 a^{3} - 4 a^{2} + 7) \div (- 6 a^{2})$

Step 1

Rewrite the division as a fraction.

$\frac{- 3 a^{3} - 4 a^{2} + 7}{- 6 a^{2}}$

Step 2

Move the negative in front of the fraction.

$- \frac{- 3 a^{3} - 4 a^{2} + 7}{6 a^{2}}$

Step 3

Factor $- 1$ out of $- 3 a^{3}$ .

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

Step 4

Factor $- 1$ out of $- 4 a^{2}$ .

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

Step 5

Factor $- 1$ out of $- (3 a^{3}) - (4 a^{2})$ .

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

Step 6

Rewrite $7$ as $- 1 (- 7)$ .

$- \frac{- (3 a^{3} + 4 a^{2}) - 1 (- 7)}{6 a^{2}}$

Step 7

Factor $- 1$ out of $- (3 a^{3} + 4 a^{2}) - 1 (- 7)$ .

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

Step 8

Simplify the expression.

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Step 8.1

Rewrite $- (3 a^{3} + 4 a^{2} - 7)$ as $- 1 (3 a^{3} + 4 a^{2} - 7)$ .

$- \frac{- 1 (3 a^{3} + 4 a^{2} - 7)}{6 a^{2}}$

Step 8.2

Move the negative in front of the fraction.

$- - \frac{3 a^{3} + 4 a^{2} - 7}{6 a^{2}}$

Step 8.3

Multiply $- 1$ by $- 1$ .

$1 \frac{3 a^{3} + 4 a^{2} - 7}{6 a^{2}}$

Step 8.4

Multiply $\frac{3 a^{3} + 4 a^{2} - 7}{6 a^{2}}$ by $1$ .

$\frac{3 a^{3} + 4 a^{2} - 7}{6 a^{2}}$