What is 6/(x^2-4)+2/(x^2-5x+6) ?

The solution to 6/(x^2-4)+2/(x^2-5x+6) is (8x-14)/((x+2)(x-2)(x-3))

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simplify 6/(x^2-4)+2/(x^2-5x+6)

simplify

\frac{6}{x ^{2} - 4} + \frac{2}{x ^{2} - 5 x + 6}

\frac{8 x - 14}{( x + 2 ) ( x - 2 ) ( x - 3 )}

Solution steps

\frac{6}{x ^{2} - 4} + \frac{2}{x ^{2} - 5 x + 6}

Least Common Multiplier of

x^{2} - 4, x^{2} - 5 x + 6 : (x + 2) (x - 2) (x - 3)

Adjust Fractions based on the LCM

= \frac{6 ( 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{6 ( x - 3 ) + 2 ( x + 2 )}{( x + 2 ) ( x - 2 ) ( x - 3 )}

Simplify

6 (x - 3) + 2 (x + 2) : 8 x - 14

= \frac{8 x - 14}{( x + 2 ) ( x - 2 ) ( x - 3 )}

(x + 6) (x - 9)

\frac{x ^{10}}{x ^{2}}

(5 x + 3)^{5}

- 0.98 (9.8)

\frac{13}{20}

What is 6/(x^2-4)+2/(x^2-5x+6) ?
The solution to 6/(x^2-4)+2/(x^2-5x+6) is (8x-14)/((x+2)(x-2)(x-3))