What is 2/((x+4))+1/((x-3)) ?

The solution to 2/((x+4))+1/((x-3)) is (3x-2)/((x+4)(x-3))

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simplify 2/((x+4))+1/((x-3))

simplify

\frac{2}{( x + 4 )} + \frac{1}{( x - 3 )}

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

Solution steps

\frac{2}{x + 4} + \frac{1}{x - 3}

Least Common Multiplier of

x + 4, x - 3 : (x + 4) (x - 3)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

2 (x - 3) + x + 4 : 3 x - 2

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

4 x^{3} - 8 x^{2} + 3 x - 6

x^{2} + 2 3 x - 9

(a) 1 - 64 a^{3} - 12 a + 48 a^{2}

sin^{- 2} (x)

(6 a^{3} + b^{3})^{3}

What is 2/((x+4))+1/((x-3)) ?
The solution to 2/((x+4))+1/((x-3)) is (3x-2)/((x+4)(x-3))