Algebra Examples

$\frac{2 x - 4}{x^{2} - 2} + \frac{x + 7}{x^{2} - 2}$

Step 1

Combine the numerators over the common denominator.

$\frac{2 x - 4 + x + 7}{x^{2} - 2}$

Step 2

Add $2 x$ and $x$ .

$\frac{3 x - 4 + 7}{x^{2} - 2}$

Step 3

Add $- 4$ and $7$ .

$\frac{3 x + 3}{x^{2} - 2}$

Step 4

Factor $3$ out of $3 x + 3$ .

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Step 4.1

Factor $3$ out of $3 x$ .

$\frac{3 (x) + 3}{x^{2} - 2}$

Step 4.2

Factor $3$ out of $3$ .

$\frac{3 (x) + 3 (1)}{x^{2} - 2}$

Step 4.3

Factor $3$ out of $3 (x) + 3 (1)$ .

$\frac{3 (x + 1)}{x^{2} - 2}$