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

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

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

simplify

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

x - 2 x - 2 - 1

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

= x - 2 x - 2 - 1

(8 - 2 x)^{\circ} (7 x + 3) (x)

- (\frac{z ( z + 2 )}{( z ^{2} + z + 1 ) ^{2}})

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

\frac{x + 4}{( x - 2 ) ( x - 4 )}