Basic Math Examples

$\frac{b - 17}{c^{2} + 2} \cdot \frac{a^{3}}{b^{3}} \cdot \frac{c^{3}}{b - 17}$

Step 1

Multiply $\frac{b - 17}{c^{2} + 2}$ by $\frac{a^{3}}{b^{3}}$ .

$\frac{(b - 17) a^{3}}{(c^{2} + 2) b^{3}} \cdot \frac{c^{3}}{b - 17}$

Step 2

Cancel the common factor of $b - 17$ .

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Step 2.1

Factor $b - 17$ out of $(b - 17) a^{3}$ .

$\frac{(b - 17) (a^{3})}{(c^{2} + 2) b^{3}} \cdot \frac{c^{3}}{b - 17}$

Step 2.2

Cancel the common factor.

$\frac{(b - 17) a^{3}}{(c^{2} + 2) b^{3}} \cdot \frac{c^{3}}{b - 17}$

Step 2.3

Rewrite the expression.

$\frac{a^{3}}{(c^{2} + 2) b^{3}} \cdot c^{3}$

Step 3

Combine $\frac{a^{3}}{(c^{2} + 2) b^{3}}$ and $c^{3}$ .

$\frac{a^{3} c^{3}}{(c^{2} + 2) b^{3}}$

Step 4

Reorder factors in $\frac{a^{3} c^{3}}{(c^{2} + 2) b^{3}}$ .

$\frac{a^{3} c^{3}}{b^{3} (c^{2} + 2)}$