Basic Math Examples

$\frac{5}{c - 2} + \frac{4}{c^{2} - 2 c}$

Step 1

Factor $c$ out of $c^{2} - 2 c$ .

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Step 1.1

Factor $c$ out of $c^{2}$ .

$\frac{5}{c - 2} + \frac{4}{c \cdot c - 2 c}$

Step 1.2

Factor $c$ out of $- 2 c$ .

$\frac{5}{c - 2} + \frac{4}{c \cdot c + c \cdot - 2}$

Step 1.3

Factor $c$ out of $c \cdot c + c \cdot - 2$ .

$\frac{5}{c - 2} + \frac{4}{c (c - 2)}$

Step 2

To write $\frac{5}{c - 2}$ as a fraction with a common denominator, multiply by $\frac{c}{c}$ .

$\frac{5}{c - 2} \cdot \frac{c}{c} + \frac{4}{c (c - 2)}$

Step 3

Write each expression with a common denominator of $(c - 2) c$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

Multiply $\frac{5}{c - 2}$ by $\frac{c}{c}$ .

$\frac{5 c}{(c - 2) c} + \frac{4}{c (c - 2)}$

Step 3.2

Reorder the factors of $(c - 2) c$ .

$\frac{5 c}{c (c - 2)} + \frac{4}{c (c - 2)}$

Step 4

Combine the numerators over the common denominator.

$\frac{5 c + 4}{c (c - 2)}$