What is 2/((x^2-x-6))+((3x))/((x^2-9)) ?

The solution to 2/((x^2-x-6))+((3x))/((x^2-9)) is (3x^2+8x+6)/((x+2)(x-3)(x+3))

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simplify 2/((x^2-x-6))+((3x))/((x^2-9))

simplify

\frac{2}{( x ^{2} - x - 6 )} + \frac{( 3 x )}{( x ^{2} - 9 )}

\frac{3 x ^{2} + 8 x + 6}{( x + 2 ) ( x - 3 ) ( x + 3 )}

Solution steps

\frac{2}{x ^{2} - x - 6} + \frac{3 x}{x ^{2} - 9}

Least Common Multiplier of

x^{2} - x - 6, x^{2} - 9 : (x + 2) (x - 3) (x + 3)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

2 (x + 3) + 3 x (x + 2) : 3 x^{2} + 8 x + 6

= \frac{3 x ^{2} + 8 x + 6}{( x + 2 ) ( x - 3 ) ( x + 3 )}

m^{3} - 14 m + 8

sec^{2} (x) - sin^{2} (x) - cos^{2} (x)

co \frac{tan ( x )}{2}

x + 2 x^{3} + 6 x + y

m^{7} - n^{7}

What is 2/((x^2-x-6))+((3x))/((x^2-9)) ?
The solution to 2/((x^2-x-6))+((3x))/((x^2-9)) is (3x^2+8x+6)/((x+2)(x-3)(x+3))