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

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

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

simplify

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

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

Solution steps

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

Apply the fraction rule:

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

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

Simplify

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

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

(\frac{9}{16})^{\frac{5}{2}}

(i x)^{2}

(55 - 22)

10 \times 3

63 x^{3} + x 28 x