Basic Math Examples

$\frac{(c - 4) (c + 5)}{(c - 6) (c + 3)} \cdot \frac{(c - 66) (c - 11)}{(c + 5) (c + 3)}$

Step 1

Cancel the common factor of $c + 5$ .

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Step 1.1

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

$\frac{(c + 5) (c - 4)}{(c - 6) (c + 3)} \cdot \frac{(c - 66) (c - 11)}{(c + 5) (c + 3)}$

Step 1.2

Cancel the common factor.

$\frac{(c + 5) (c - 4)}{(c - 6) (c + 3)} \cdot \frac{(c - 66) (c - 11)}{(c + 5) (c + 3)}$

Step 1.3

Rewrite the expression.

$\frac{c - 4}{(c - 6) (c + 3)} \cdot \frac{(c - 66) (c - 11)}{c + 3}$

Step 2

Multiply $\frac{c - 4}{(c - 6) (c + 3)}$ by $\frac{(c - 66) (c - 11)}{c + 3}$ .

$\frac{(c - 4) ((c - 66) (c - 11))}{(c - 6) (c + 3) (c + 3)}$

Step 3

Raise $c + 3$ to the power of $1$ .

$\frac{(c - 4) ((c - 66) (c - 11))}{(c - 6) ({(c + 3)}^{1} (c + 3))}$

Step 4

Raise $c + 3$ to the power of $1$ .

$\frac{(c - 4) ((c - 66) (c - 11))}{(c - 6) ({(c + 3)}^{1} {(c + 3)}^{1})}$

Step 5

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{(c - 4) ((c - 66) (c - 11))}{(c - 6) {(c + 3)}^{1 + 1}}$

Step 6

Add $1$ and $1$ .

$\frac{(c - 4) (c - 66) (c - 11)}{(c - 6) {(c + 3)}^{2}}$