Basic Math Examples

$\frac{- 6 y^{3} - 25 y^{2} - 13 y + 32}{3 y + 5}$

Step 1

Factor $- 1$ out of $- 6 y^{3}$ .

$\frac{- (6 y^{3}) - 25 y^{2} - 13 y + 32}{3 y + 5}$

Step 2

Factor $- 1$ out of $- 25 y^{2}$ .

$\frac{- (6 y^{3}) - (25 y^{2}) - 13 y + 32}{3 y + 5}$

Step 3

Factor $- 1$ out of $- (6 y^{3}) - (25 y^{2})$ .

$\frac{- (6 y^{3} + 25 y^{2}) - 13 y + 32}{3 y + 5}$

Step 4

Factor $- 1$ out of $- 13 y$ .

$\frac{- (6 y^{3} + 25 y^{2}) - (13 y) + 32}{3 y + 5}$

Step 5

Factor $- 1$ out of $- (6 y^{3} + 25 y^{2}) - (13 y)$ .

$\frac{- (6 y^{3} + 25 y^{2} + 13 y) + 32}{3 y + 5}$

Step 6

Rewrite $32$ as $- 1 (- 32)$ .

$\frac{- (6 y^{3} + 25 y^{2} + 13 y) - 1 (- 32)}{3 y + 5}$

Step 7

Factor $- 1$ out of $- (6 y^{3} + 25 y^{2} + 13 y) - 1 (- 32)$ .

$\frac{- (6 y^{3} + 25 y^{2} + 13 y - 32)}{3 y + 5}$

Step 8

Simplify the expression.

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Step 8.1

Rewrite $- (6 y^{3} + 25 y^{2} + 13 y - 32)$ as $- 1 (6 y^{3} + 25 y^{2} + 13 y - 32)$ .

$\frac{- 1 (6 y^{3} + 25 y^{2} + 13 y - 32)}{3 y + 5}$

Step 8.2

Move the negative in front of the fraction.

$- \frac{6 y^{3} + 25 y^{2} + 13 y - 32}{3 y + 5}$