What is (3-1-(((1-x)^{-1})^{-1})^{-1})/2 ?

The solution to (3-1-(((1-x)^{-1})^{-1})^{-1})/2 is (-2x+1)/(2(-x+1))

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simplify (3-1-(((1-x)^{-1})^{-1})^{-1})/2

simplify

\frac{3 - 1 - ( ( ( 1 - x ) ^{- 1} ) ^{- 1} ) ^{- 1}}{2}

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

Solution steps

\frac{3 - 1 - ( ( ( 1 - x ) ^{- 1} ) ^{- 1} ) ^{- 1}}{2}

Subtract the numbers:

3 - 1 = 2

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

(((- x + 1)^{- 1})^{- 1})^{- 1} = (- x + 1)^{- 1}

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

Apply exponent rule:

a^{- 1} = \frac{1}{a}

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

Join

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

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

Apply the fraction rule:

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

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

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

x^{2} - 4 3 x + 3

\frac{( c ^{2} + 13 c + 36 )}{( c + 9 )}

f (0) f (5) f (x) - 3 x^{2} + x + 5

x^{3} - y^{3}

What is (3-1-(((1-x)^{-1})^{-1})^{-1})/2 ?
The solution to (3-1-(((1-x)^{-1})^{-1})^{-1})/2 is (-2x+1)/(2(-x+1))