Basic Math Examples

$\frac{(c - 4) (c + 5)}{(c - 6) (c + 3)} \cdot \frac{(c - 6) (c - 11)}{(c + 5) (c - 4)}$

Step 1

Cancel the common factor of $(c + 5) (c - 4)$ .

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Step 1.1

Factor $(c + 5) (c - 4)$ out of $(c - 4) (c + 5)$ .

$\frac{(c + 5) (c - 4) (1)}{(c - 6) (c + 3)} \cdot \frac{(c - 6) (c - 11)}{(c + 5) (c - 4)}$

Step 1.2

Cancel the common factor.

$\frac{(c + 5) (c - 4) \cdot 1}{(c - 6) (c + 3)} \cdot \frac{(c - 6) (c - 11)}{(c + 5) (c - 4)}$

Step 1.3

Rewrite the expression.

$\frac{1}{(c - 6) (c + 3)} \cdot ((c - 6) (c - 11))$

Step 2

Cancel the common factor of $c - 6$ .

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Step 2.1

Cancel the common factor.

$\frac{1}{(c - 6) (c + 3)} \cdot ((c - 6) (c - 11))$

Step 2.2

Rewrite the expression.

$\frac{1}{c + 3} \cdot (c - 11)$

Step 3

Multiply $\frac{1}{c + 3}$ by $c - 11$ .

$\frac{c - 11}{c + 3}$