What is (sqrt(x-1)-x)^2 ?

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

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simplify (sqrt(x-1)-x)^2

simplify

(x - 1 - x)^{2}

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

Solution steps

(x - 1 - x)^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

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

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

(x - 1)^{2} = x - 1

- 2 x - 1 x = - 2 x x - 1

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

K (1 + A + \frac{- A - 2 B}{z} + B + \frac{B}{z ^{2}}) \cdot 0.01397

\frac{( e ^{- s} - 2 e ^{- 2 s} )}{s ^{2} ( s ^{2} + s )}

\frac{- y ^{3} + y ^{2} x + y x ^{2} + 5 x ^{3}}{x ( y + x ) ( 2 x - y )}

\frac{y}{s ( s ^{2} + 2 s + 10 )}

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

What is (sqrt(x-1)-x)^2 ?
The solution to (sqrt(x-1)-x)^2 is x-1-2xsqrt(x-1)+x^2