Algebra Examples

$\frac{8 y^{10} - 2 y^{6} + 5 y^{3} + 9 y}{2 y^{3}}$

Step 1

Factor $y$ out of $8 y^{10} - 2 y^{6} + 5 y^{3} + 9 y$ .

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Step 1.1

Factor $y$ out of $8 y^{10}$ .

$\frac{y (8 y^{9}) - 2 y^{6} + 5 y^{3} + 9 y}{2 y^{3}}$

Step 1.2

Factor $y$ out of $- 2 y^{6}$ .

$\frac{y (8 y^{9}) + y (- 2 y^{5}) + 5 y^{3} + 9 y}{2 y^{3}}$

Step 1.3

Factor $y$ out of $5 y^{3}$ .

$\frac{y (8 y^{9}) + y (- 2 y^{5}) + y (5 y^{2}) + 9 y}{2 y^{3}}$

Step 1.4

Factor $y$ out of $9 y$ .

$\frac{y (8 y^{9}) + y (- 2 y^{5}) + y (5 y^{2}) + y \cdot 9}{2 y^{3}}$

Step 1.5

Factor $y$ out of $y (8 y^{9}) + y (- 2 y^{5})$ .

$\frac{y (8 y^{9} - 2 y^{5}) + y (5 y^{2}) + y \cdot 9}{2 y^{3}}$

Step 1.6

Factor $y$ out of $y (8 y^{9} - 2 y^{5}) + y (5 y^{2})$ .

$\frac{y (8 y^{9} - 2 y^{5} + 5 y^{2}) + y \cdot 9}{2 y^{3}}$

Step 1.7

Factor $y$ out of $y (8 y^{9} - 2 y^{5} + 5 y^{2}) + y \cdot 9$ .

$\frac{y (8 y^{9} - 2 y^{5} + 5 y^{2} + 9)}{2 y^{3}}$

Step 2

Cancel the common factors.

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Step 2.1

Factor $y$ out of $2 y^{3}$ .

$\frac{y (8 y^{9} - 2 y^{5} + 5 y^{2} + 9)}{y (2 y^{2})}$

Step 2.2

Cancel the common factor.

$\frac{y (8 y^{9} - 2 y^{5} + 5 y^{2} + 9)}{y (2 y^{2})}$

Step 2.3

Rewrite the expression.

$\frac{8 y^{9} - 2 y^{5} + 5 y^{2} + 9}{2 y^{2}}$