Pre-Algebra Examples

$(16 y^{8} - 8 y^{7} + 2 y^{3}) \div 2 y^{3}$

Step 1

Rewrite the division as a fraction.

$\frac{16 y^{8} - 8 y^{7} + 2 y^{3}}{2 y^{3}}$

Step 2

Factor $2 y^{3}$ out of $16 y^{8} - 8 y^{7} + 2 y^{3}$ .

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Step 2.1

Factor $2 y^{3}$ out of $16 y^{8}$ .

$\frac{2 y^{3} (8 y^{5}) - 8 y^{7} + 2 y^{3}}{2 y^{3}}$

Step 2.2

Factor $2 y^{3}$ out of $- 8 y^{7}$ .

$\frac{2 y^{3} (8 y^{5}) + 2 y^{3} (- 4 y^{4}) + 2 y^{3}}{2 y^{3}}$

Step 2.3

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

$\frac{2 y^{3} (8 y^{5}) + 2 y^{3} (- 4 y^{4}) + 2 y^{3} (1)}{2 y^{3}}$

Step 2.4

Factor $2 y^{3}$ out of $2 y^{3} (8 y^{5}) + 2 y^{3} (- 4 y^{4})$ .

$\frac{2 y^{3} (8 y^{5} - 4 y^{4}) + 2 y^{3} (1)}{2 y^{3}}$

Step 2.5

Factor $2 y^{3}$ out of $2 y^{3} (8 y^{5} - 4 y^{4}) + 2 y^{3} (1)$ .

$\frac{2 y^{3} (8 y^{5} - 4 y^{4} + 1)}{2 y^{3}}$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Cancel the common factor.

$\frac{2 y^{3} (8 y^{5} - 4 y^{4} + 1)}{2 y^{3}}$

Step 3.2

Rewrite the expression.

$\frac{y^{3} (8 y^{5} - 4 y^{4} + 1)}{y^{3}}$

Step 4

Cancel the common factor of $y^{3}$ .

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Step 4.1

Cancel the common factor.

$\frac{y^{3} (8 y^{5} - 4 y^{4} + 1)}{y^{3}}$

Step 4.2

Divide $8 y^{5} - 4 y^{4} + 1$ by $1$ .

$8 y^{5} - 4 y^{4} + 1$