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

The solution to 2/(2x+1)+1/(x+2) is (4x+5)/((x+2)(2x+1))

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

simplify

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

\frac{4 x + 5}{( x + 2 ) ( 2 x + 1 )}

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

2 (x + 2) + 2 x + 1 : 4 x + 5

= \frac{4 x + 5}{( x + 2 ) ( 2 x + 1 )}

(\frac{- 5}{10})^{- 2}

\frac{2 x ^{4} + 3 x ^{3} - 2 x ^{2} + 13 x - 24}{x + 3}

\frac{5}{16} \cdot 1 0^{- 4}

sin (2 x) cos (2 x)

What is 2/(2x+1)+1/(x+2) ?
The solution to 2/(2x+1)+1/(x+2) is (4x+5)/((x+2)(2x+1))