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

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

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

simplify

(1 - x - 1)^{2}

x - 2 x - 1

Solution steps

(1 - x - 1)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

= x - 2 x - 1

\frac{in d i c a d a}{( x + y + 3 ) ^{2}}

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e^{4 x} (e^{2 x} + 3)

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

(- y, z - 1, - 1) \cdot (1, 1, 1)