Algebra Examples

$(3 y^{3} + 4 y^{2} - 17 y - 9) \div y + 3$

Step 1

Rewrite the division as a fraction.

$\frac{3 y^{3} + 4 y^{2} - 17 y - 9}{y} + 3$

Step 2

To write $3$ as a fraction with a common denominator, multiply by $\frac{y}{y}$ .

$\frac{3 y^{3} + 4 y^{2} - 17 y - 9}{y} + \frac{3 y}{y}$

Step 3

Combine the numerators over the common denominator.

$\frac{3 y^{3} + 4 y^{2} - 17 y - 9 + 3 y}{y}$

Step 4

Add $- 17 y$ and $3 y$ .

$\frac{3 y^{3} + 4 y^{2} - 14 y - 9}{y}$