What is (2x+1)/(x-5)+2/x ?

The solution to (2x+1)/(x-5)+2/x is (2x^2+3x-10)/(x(x-5))

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simplify (2x+1)/(x-5)+2/x

simplify

\frac{2 x + 1}{x - 5} + \frac{2}{x}

\frac{2 x ^{2} + 3 x - 10}{x ( x - 5 )}

Solution steps

\frac{2 x + 1}{x - 5} + \frac{2}{x}

Least Common Multiplier of

x - 5, x : x (x - 5)

Adjust Fractions based on the LCM

= \frac{( 2 x + 1 ) x}{x ( x - 5 )} + \frac{2 ( x - 5 )}{x ( x - 5 )}

Apply the fraction rule:

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

= \frac{( 2 x + 1 ) x + 2 ( x - 5 )}{x ( x - 5 )}

Simplify

(2 x + 1) x + 2 (x - 5) : 2 x^{2} + 3 x - 10

= \frac{2 x ^{2} + 3 x - 10}{x ( x - 5 )}

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

- 3.3 3

\frac{- 18 - 2 i}{8 + 10 i}

2 \times 3

What is (2x+1)/(x-5)+2/x ?
The solution to (2x+1)/(x-5)+2/x is (2x^2+3x-10)/(x(x-5))