What is (sqrt(1-x)-3)^2 ?

The solution to (sqrt(1-x)-3)^2 is -x-6sqrt(1-x)+10

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simplify (sqrt(1-x)-3)^2

simplify

(1 - x - 3)^{2}

- x - 6 1 - x + 10

Solution steps

(1 - x - 3)^{2}

Apply Perfect Square Formula:

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

(1 - x - 3)^{2} = (1 - x)^{2} - 2 1 - x \cdot 3 + 3^{2}

= (1 - x)^{2} - 2 1 - x \cdot 3 + 3^{2}

Simplify

(1 - x)^{2} - 2 1 - x \cdot 3 + 3^{2} : - x - 6 1 - x + 10

= - x - 6 1 - x + 10

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

(\frac{6}{5 π , - 3.7}) (π, - 11)

\frac{x - cos ( x ) ( m x + 1 ) - arctan ( x ) + 1}{x ^{4} ( m + 1 )}

A (2, - 3) B (5, 2)

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