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

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

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

simplify

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

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

Solution steps

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

Join

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

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

Apply the fraction rule:

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

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

Simplify

2 (- x + 1) (x + 1) + (1 + x)^{2} + (1 - x)^{2} : 4

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

1 0^{1.5 (15.84675355) + 4.8}

35 v - 30

20 \div 1 \frac{1}{3}

6500

3 \frac{2}{4} \div 4

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