What is (2-sqrt(x-4))^2 ?

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

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simplify (2-sqrt(x-4))^2

simplify

(2 - x - 4)^{2}

x - 4 x - 4

Solution steps

(2 - x - 4)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

= x - 4 x - 4

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

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

(3 sin^{2} (θ)) (1 + sin^{2} (θ))

3 (ln (- 1) + 1)

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