Finite Math Examples

$\frac{10 y^{7} + 9 y^{4} - 4 y^{2}}{2 y^{3}}$

Step 1

Factor $y^{2}$ out of $10 y^{7} + 9 y^{4} - 4 y^{2}$ .

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Step 1.1

Factor $y^{2}$ out of $10 y^{7}$ .

$\frac{y^{2} (10 y^{5}) + 9 y^{4} - 4 y^{2}}{2 y^{3}}$

Step 1.2

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

$\frac{y^{2} (10 y^{5}) + y^{2} (9 y^{2}) - 4 y^{2}}{2 y^{3}}$

Step 1.3

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

$\frac{y^{2} (10 y^{5}) + y^{2} (9 y^{2}) + y^{2} \cdot - 4}{2 y^{3}}$

Step 1.4

Factor $y^{2}$ out of $y^{2} (10 y^{5}) + y^{2} (9 y^{2})$ .

$\frac{y^{2} (10 y^{5} + 9 y^{2}) + y^{2} \cdot - 4}{2 y^{3}}$

Step 1.5

Factor $y^{2}$ out of $y^{2} (10 y^{5} + 9 y^{2}) + y^{2} \cdot - 4$ .

$\frac{y^{2} (10 y^{5} + 9 y^{2} - 4)}{2 y^{3}}$

Step 2

Cancel the common factors.

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Step 2.1

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

$\frac{y^{2} (10 y^{5} + 9 y^{2} - 4)}{y^{2} (2 y)}$

Step 2.2

Cancel the common factor.

$\frac{y^{2} (10 y^{5} + 9 y^{2} - 4)}{y^{2} (2 y)}$

Step 2.3

Rewrite the expression.

$\frac{10 y^{5} + 9 y^{2} - 4}{2 y}$