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

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

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

simplify

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

(y^{2} + \frac{1}{4 y ^{2}})^{2}

\frac{2}{9} (3 k - 1)

(4 x^{2} + x - \frac{3}{2}) (6 x - 8)

(x - (- 2 - 3 i)) (x - (- 2 + 3 i))

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