Simplify (91y^3+21y^2-35y)÷7y

$(91 y^{3} + 21 y^{2} - 35 y) \div 7 y$

Rewrite the division as a fraction.

$\frac{91 y^{3} + 21 y^{2} - 35 y}{7 y}$

Factor $7 y$ out of $91 y^{3} + 21 y^{2} - 35 y$ .

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Factor $7 y$ out of $91 y^{3}$ .

$\frac{7 y (13 y^{2}) + 21 y^{2} - 35 y}{7 y}$

Factor $7 y$ out of $21 y^{2}$ .

$\frac{7 y (13 y^{2}) + 7 y (3 y) - 35 y}{7 y}$

Factor $7 y$ out of $- 35 y$ .

$\frac{7 y (13 y^{2}) + 7 y (3 y) + 7 y (- 5)}{7 y}$

Factor $7 y$ out of $7 y (13 y^{2}) + 7 y (3 y)$ .

$\frac{7 y (13 y^{2} + 3 y) + 7 y (- 5)}{7 y}$

Factor $7 y$ out of $7 y (13 y^{2} + 3 y) + 7 y (- 5)$ .

$\frac{7 y (13 y^{2} + 3 y - 5)}{7 y}$

Cancel the common factor of $7$ .

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Cancel the common factor.

$\frac{7 y (13 y^{2} + 3 y - 5)}{7 y}$

Rewrite the expression.

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

Cancel the common factor of $y$ .

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Cancel the common factor.

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

Divide $13 y^{2} + 3 y - 5$ by $1$ .

$13 y^{2} + 3 y - 5$

Simplify (91y^3+21y^2-35y)÷7y

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