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

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

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

simplify

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

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

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

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

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

\frac{320}{10}

\frac{1}{2} cos (x)

\frac{3 ( u ) ^{3}}{15 u ^{7}}

8 x - 10 - x^{2} - 2 x

(0.1)^{- 2}

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