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

The solution to x/(x+2)+3/(2x-1) is (2x^2+2x+6)/((x+2)(2x-1))

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

simplify

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

\frac{2 x ^{2} + 2 x + 6}{( x + 2 ) ( 2 x - 1 )}

Solution steps

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

Least Common Multiplier of

x + 2, 2 x - 1 : (x + 2) (2 x - 1)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

x (2 x - 1) + 3 (x + 2) : 2 x^{2} + 2 x + 6

= \frac{2 x ^{2} + 2 x + 6}{( x + 2 ) ( 2 x - 1 )}

- 3 p - (- 8 + 4 p)

a^{2} - ab - ab + b^{2}

16 + 25

(- 1 - i) + (8 + 10 i)

(y + 4) (y + 3)

What is x/(x+2)+3/(2x-1) ?
The solution to x/(x+2)+3/(2x-1) is (2x^2+2x+6)/((x+2)(2x-1))