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

The solution to 4/x+3/(2-x) is (-x+8)/(x(-x+2))

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

simplify

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

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

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

4 (- x + 2) + 3 x : - x + 8

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

5 x 1 0^{- 3}

32 - 5

\frac{1}{2 b} + \frac{b}{2}

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

(0.2)^{- 1}