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

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

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

simplify

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

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

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

2 x - 1 + 2 x + 1 : 4 x

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

(t - 2) (t^{2} - 5 t + 1)

(2 m - 5)^{2}

\frac{- 1}{\frac{1}{3}}

(x^{a + 1})^{2}

X^{- 2}

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