What is (7x)/(x^2-4)+2/(x+2) ?

The solution to (7x)/(x^2-4)+2/(x+2) is (9x-4)/((x+2)(x-2))

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simplify (7x)/(x^2-4)+2/(x+2)

simplify

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

\frac{9 x - 4}{( x + 2 ) ( x - 2 )}

Solution steps

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

Least Common Multiplier of

x^{2} - 4, x + 2 : (x + 2) (x - 2)

Adjust Fractions based on the LCM

= \frac{7 x}{( x + 2 ) ( x - 2 )} + \frac{2 ( x - 2 )}{( x + 2 ) ( x - 2 )}

Apply the fraction rule:

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

= \frac{7 x + 2 ( x - 2 )}{( x + 2 ) ( x - 2 )}

Simplify

7 x + 2 (x - 2) : 9 x - 4

= \frac{9 x - 4}{( x + 2 ) ( x - 2 )}

\frac{\frac{2 b - 10}{3}}{\frac{b - 5}{9}}

tan^{2} (θ) - sec^{2} (θ)

\frac{6 x ^{2} + 15 x}{12 x ^{2} - 75}

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

What is (7x)/(x^2-4)+2/(x+2) ?
The solution to (7x)/(x^2-4)+2/(x+2) is (9x-4)/((x+2)(x-2))