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

The solution to (1+x/(1-x))*(1-x/(1+x)) is 1/((1+x)(1-x))

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

simplify

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

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

Solution steps

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

Join

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

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

Apply the fraction rule:

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

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

Simplify

1 \cdot (1 - \frac{x}{1 + x}) : \frac{1}{1 + x}

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

Apply the fraction rule:

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

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

(2 - 2 i 3)^{5}

\frac{( s + 1 ) ^{3}}{s ^{5}}

(1 - x) e^{x}

ln (a + 1) \cdot (e^{a} + a \cdot e^{a})

x^{\frac{2}{3}} (x^{2} - 4)

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