Calculus Examples

$\frac{9 u^{8} v^{6}}{3 u^{4} v^{8}}$

Step 1

Reduce the expression $\frac{9 u^{8} v^{6}}{3 u^{4} v^{8}}$ by cancelling the common factors.

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Step 1.1

Factor $3$ out of $9 u^{8} v^{6}$ .

$\frac{3 (3 u^{8} v^{6})}{3 u^{4} v^{8}}$

Step 1.2

Factor $3$ out of $3 u^{4} v^{8}$ .

$\frac{3 (3 u^{8} v^{6})}{3 (u^{4} v^{8})}$

Step 1.3

Cancel the common factor.

$\frac{3 (3 u^{8} v^{6})}{3 (u^{4} v^{8})}$

Step 1.4

Rewrite the expression.

$\frac{3 u^{8} v^{6}}{u^{4} v^{8}}$

Step 2

Reduce the expression $\frac{3 u^{8} v^{6}}{u^{4} v^{8}}$ by cancelling the common factors.

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Step 2.1

Factor $u^{4}$ out of $3 u^{8} v^{6}$ .

$\frac{u^{4} (3 u^{4} v^{6})}{u^{4} v^{8}}$

Step 2.2

Factor $u^{4}$ out of $u^{4} v^{8}$ .

$\frac{u^{4} (3 u^{4} v^{6})}{u^{4} (v^{8})}$

Step 2.3

Cancel the common factor.

$\frac{u^{4} (3 u^{4} v^{6})}{u^{4} v^{8}}$

Step 2.4

Rewrite the expression.

$\frac{3 u^{4} v^{6}}{v^{8}}$

Step 3

Reduce the expression $\frac{3 u^{4} v^{6}}{v^{8}}$ by cancelling the common factors.

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Step 3.1

Factor $v^{6}$ out of $3 u^{4} v^{6}$ .

$\frac{v^{6} (3 u^{4})}{v^{8}}$

Step 3.2

Factor $v^{6}$ out of $v^{8}$ .

$\frac{v^{6} (3 u^{4})}{v^{6} v^{2}}$

Step 3.3

Cancel the common factor.

$\frac{v^{6} (3 u^{4})}{v^{6} v^{2}}$

Step 3.4

Rewrite the expression.

$\frac{3 u^{4}}{v^{2}}$