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

The solution to 3/(x+2)-(2x)/(x^2-4) is (x-6)/((x+2)(x-2))

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

simplify

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

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

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

3 (x - 2) - 2 x : x - 6

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

sin (x) \times (- sin (x))

\frac{3}{12} + \frac{7}{8} \frac{( \frac{3}{4} + \frac{2}{3} )}{( - \frac{1}{2} ) ^{3}}

\frac{9 x ^{2}}{x ^{4} + 2 x ^{3}}

(a^{b})^{c}

(6 x^{2} + 7 x) + (5 - 2 x^{2} + 9 x)

What is 3/(x+2)-(2x)/(x^2-4) ?
The solution to 3/(x+2)-(2x)/(x^2-4) is (x-6)/((x+2)(x-2))