What is (2+sqrt(6-x))^2 ?

The solution to (2+sqrt(6-x))^2 is -x+4sqrt(6-x)+10

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simplify (2+sqrt(6-x))^2

simplify

(2 + 6 - x)^{2}

- x + 4 6 - x + 10

Solution steps

(2 + 6 - x)^{2}

Apply Perfect Square Formula:

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

(2 + 6 - x)^{2} = 2^{2} + 2 \cdot 2 6 - x + (6 - x)^{2}

= 2^{2} + 2 \cdot 2 6 - x + (6 - x)^{2}

Simplify

2^{2} + 2 \cdot 2 6 - x + (6 - x)^{2} : - x + 4 6 - x + 10

= - x + 4 6 - x + 10

(x - 2) (x + 6)

(3 x - 1)^{2}

C (s + 1) (s - 1) (s + \frac{1}{2})

ln (93) (- x^{2} - 55 x - 156)

(e^{2 x}) (3 e^{3 x} + 2 x)