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

The solution to (2-sqrt(x-2))^2 is x-4sqrt(x-2)+2

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

simplify

(2 - x - 2)^{2}

x - 4 x - 2 + 2

Solution steps

(2 - x - 2)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

2^{2} - 2 \cdot 2 x - 2 + (x - 2)^{2} : x - 4 x - 2 + 2

= x - 4 x - 2 + 2

(1 - c e^{t})^{2}

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

\frac{3}{4} x^{3}

cos (4 t) - cos (4 t) U (t - π)

\frac{3}{w ( w + 1 ) ^{2}}