What is (2-sqrt(x-5))^2 ?

The solution to (2-sqrt(x-5))^2 is x-4sqrt(x-5)-1

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simplify (2-sqrt(x-5))^2

simplify

(2 - x - 5)^{2}

x - 4 x - 5 - 1

Solution steps

(2 - x - 5)^{2}

Apply Perfect Square Formula:

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

(2 - x - 5)^{2} = 2^{2} - 2 \cdot 2 x - 5 + (x - 5)^{2}

= 2^{2} - 2 \cdot 2 x - 5 + (x - 5)^{2}

Simplify

2^{2} - 2 \cdot 2 x - 5 + (x - 5)^{2} : x - 4 x - 5 - 1

= x - 4 x - 5 - 1

\frac{100 ( s - 4 )}{( s + 3 ) ( s + 2 ) ^{2}}

\frac{x ^{2} + 1}{x ^{2} ( x + 1 )}

(p - 11)^{2}

(3 - 2 i)^{5}