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 )}

\frac{cos ( x )}{sec ( x )} + \frac{sin ( x )}{csc ( x )}

(2 - 7)^{2}

(b^{2} + 4 b + 4) (- b + 3)

\frac{16 y ^{2}}{8 y ^{2}}

(4 n - 5) (4 n - 2)

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