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

(\frac{x}{3} - \frac{y}{2})^{5}

(2 (y - x) - 1 - 1 - (y - x)) l e f t (x, 1, - y)

\frac{2 ( π + 180 )}{180}

\frac{( x + 2 ) ( x + 1 )}{( x - 1 ) ( x - 3 )}

\frac{x - 5}{( x + 1 ) ( x - 1 )}