What is 6/(x^2-4)+x/(x+2) ?

The solution to 6/(x^2-4)+x/(x+2) is (6+x^2-2x)/((x+2)(x-2))

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simplify 6/(x^2-4)+x/(x+2)

simplify

\frac{6}{x ^{2} - 4} + \frac{x}{x + 2}

\frac{6 + x ^{2} - 2 x}{( x + 2 ) ( x - 2 )}

Solution steps

\frac{6}{x ^{2} - 4} + \frac{x}{x + 2}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

= \frac{6}{( x + 2 ) ( x - 2 )} + \frac{x ( x - 2 )}{( x + 2 ) ( x - 2 )}

Apply the fraction rule:

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

= \frac{6 + x ( x - 2 )}{( x + 2 ) ( x - 2 )}

Simplify

6 + x (x - 2) : 6 + x^{2} - 2 x

= \frac{6 + x ^{2} - 2 x}{( x + 2 ) ( x - 2 )}

4^{x} + 4^{x}

(a - x)^{4}

\frac{6 x}{24 x ^{2} - 216 x}

\frac{6 r}{2 ( r ^{3} ) ^{2}}

45 - 25

What is 6/(x^2-4)+x/(x+2) ?
The solution to 6/(x^2-4)+x/(x+2) is (6+x^2-2x)/((x+2)(x-2))