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

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

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

simplify

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

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

\frac{x ^{2} + 4 x - 2}{( x + 3 ) ( x - 2 )}

(- 1 + i 3)^{10}

(3 x + 4 i)^{2}

- 2 (2 + 2 - 2)

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