Basic Math Examples

$(18 y^{5} + 4 y^{2} - 6 y) \div 3 y^{4}$

Step 1

Rewrite the division as a fraction.

$\frac{18 y^{5} + 4 y^{2} - 6 y}{3 y^{4}}$

Step 2

Factor $2 y$ out of $18 y^{5} + 4 y^{2} - 6 y$ .

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Step 2.1

Factor $2 y$ out of $18 y^{5}$ .

$\frac{2 y (9 y^{4}) + 4 y^{2} - 6 y}{3 y^{4}}$

Step 2.2

Factor $2 y$ out of $4 y^{2}$ .

$\frac{2 y (9 y^{4}) + 2 y (2 y) - 6 y}{3 y^{4}}$

Step 2.3

Factor $2 y$ out of $- 6 y$ .

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

Step 2.4

Factor $2 y$ out of $2 y (9 y^{4}) + 2 y (2 y)$ .

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

Step 2.5

Factor $2 y$ out of $2 y (9 y^{4} + 2 y) + 2 y (- 3)$ .

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

Step 3

Cancel the common factor of $y$ and $y^{4}$ .

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Step 3.1

Factor $y$ out of $2 y (9 y^{4} + 2 y - 3)$ .

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

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $y$ out of $3 y^{4}$ .

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

Step 3.2.2

Cancel the common factor.

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

Step 3.2.3

Rewrite the expression.

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