What is (2x)/(x+2)+(x+2)/(x-2) ?

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

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simplify (2x)/(x+2)+(x+2)/(x-2)

simplify

\frac{2 x}{x + 2} + \frac{x + 2}{x - 2}

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

Solution steps

\frac{2 x}{x + 2} + \frac{x + 2}{x - 2}

Least Common Multiplier of

x + 2, x - 2 : (x + 2) (x - 2)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

2 x (x - 2) + (x + 2)^{2} : 3 x^{2} + 4

= \frac{3 x ^{2} + 4}{( x + 2 ) ( x - 2 )}

6 a (b + 2 c)

f (x - 4)

\frac{3}{4} + \frac{1}{7}

2 \cdot 1 0^{9}

\frac{32}{21}

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