Basic Math Examples

$\frac{4 u - 5}{9 u^{2}} \cdot \frac{3 u^{6}}{{(4 u - 5)}^{3}}$

Step 1

Cancel the common factor of $4 u - 5$ .

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Step 1.1

Factor $4 u - 5$ out of ${(4 u - 5)}^{3}$ .

$\frac{4 u - 5}{9 u^{2}} \cdot \frac{3 u^{6}}{(4 u - 5) {(4 u - 5)}^{2}}$

Step 1.2

Cancel the common factor.

$\frac{4 u - 5}{9 u^{2}} \cdot \frac{3 u^{6}}{(4 u - 5) {(4 u - 5)}^{2}}$

Step 1.3

Rewrite the expression.

$\frac{1}{9 u^{2}} \cdot \frac{3 u^{6}}{{(4 u - 5)}^{2}}$

Step 2

Cancel the common factor of $3 u^{2}$ .

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Step 2.1

Factor $3 u^{2}$ out of $9 u^{2}$ .

$\frac{1}{3 u^{2} (3)} \cdot \frac{3 u^{6}}{{(4 u - 5)}^{2}}$

Step 2.2

Factor $3 u^{2}$ out of $3 u^{6}$ .

$\frac{1}{3 u^{2} (3)} \cdot \frac{3 u^{2} (u^{4})}{{(4 u - 5)}^{2}}$

Step 2.3

Cancel the common factor.

$\frac{1}{3 u^{2} \cdot 3} \cdot \frac{3 u^{2} u^{4}}{{(4 u - 5)}^{2}}$

Step 2.4

Rewrite the expression.

$\frac{1}{3} \cdot \frac{u^{4}}{{(4 u - 5)}^{2}}$

Step 3

Multiply $\frac{1}{3}$ by $\frac{u^{4}}{{(4 u - 5)}^{2}}$ .

$\frac{u^{4}}{3 {(4 u - 5)}^{2}}$