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

The solution to (4x)/(x^2-4)-2/(x^2+x-6) is (4x^2+10x-4)/((x+2)(x-2)(x+3))

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

simplify

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

\frac{4 x ^{2} + 10 x - 4}{( x + 2 ) ( x - 2 ) ( x + 3 )}

Solution steps

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

Least Common Multiplier of

x^{2} - 4, x^{2} + x - 6 : (x + 2) (x - 2) (x + 3)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

4 x (x + 3) - 2 (x + 2) : 4 x^{2} + 10 x - 4

= \frac{4 x ^{2} + 10 x - 4}{( x + 2 ) ( x - 2 ) ( x + 3 )}

200 x^{8}

2 x^{2} - 8 x - 6

lo g_{2} (250)

\frac{2 x + 3}{5 x - 30} - \frac{3 x + 4}{x - 6}

12 x^{2} - 8 x - 4

What is (4x)/(x^2-4)-2/(x^2+x-6) ?
The solution to (4x)/(x^2-4)-2/(x^2+x-6) is (4x^2+10x-4)/((x+2)(x-2)(x+3))