What is 3/(x+2)+(x-2)/(x^2-4) ?

The solution to 3/(x+2)+(x-2)/(x^2-4) is 4/(x+2)

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simplify 3/(x+2)+(x-2)/(x^2-4)

simplify

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

\frac{4}{x + 2}

Solution steps

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

Cancel

\frac{x - 2}{x ^{2} - 4} : \frac{1}{x + 2}

= \frac{3}{x + 2} + \frac{1}{x + 2}

Apply the fraction rule:

\frac{a}{c} + \frac{b}{c} = \frac{a + b}{c}

= \frac{3 + 1}{x + 2}

Add the numbers:

3 + 1 = 4

= \frac{4}{x + 2}

\frac{6}{5} \div \frac{9}{10}

\frac{( 2 x ^{2} ) ^{3}}{4 x ^{4}}

9 - y^{2}

\frac{cos ( 3 x )}{cos ( x )}

lo g_{2} (120)

What is 3/(x+2)+(x-2)/(x^2-4) ?
The solution to 3/(x+2)+(x-2)/(x^2-4) is 4/(x+2)