Basic Math Examples

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

Step 1

Rewrite the division as a fraction.

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

Step 2

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

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Step 2.1

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

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

Step 2.2

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

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

Step 2.3

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

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

Step 2.4

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

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

Step 2.5

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

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

Step 3

Cancel the common factor of $7$ .

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Step 3.1

Cancel the common factor.

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

Step 3.2

Rewrite the expression.

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

Step 4

Cancel the common factor of $y$ .

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Step 4.1

Cancel the common factor.

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

Step 4.2

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

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