What is (3+sqrt(x+2))^2 ?

The solution to (3+sqrt(x+2))^2 is x+6sqrt(x+2)+11

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simplify (3+sqrt(x+2))^2

simplify

(3 + x + 2)^{2}

x + 6 x + 2 + 11

Solution steps

(3 + x + 2)^{2}

Apply Perfect Square Formula:

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

(3 + x + 2)^{2} = 3^{2} + 2 \cdot 3 x + 2 + (x + 2)^{2}

= 3^{2} + 2 \cdot 3 x + 2 + (x + 2)^{2}

Simplify

3^{2} + 2 \cdot 3 x + 2 + (x + 2)^{2} : x + 6 x + 2 + 11

= x + 6 x + 2 + 11

(x y^{2} - 2 sin (x)) d x - (2 sin (y) - x^{2} y) d y

(- 2)^{6}

(1 - 3 i) ((3 - 4 i) (2, + 3 i))

- 2 (11 - 105) + \frac{900 - 76 105}{45}

(1 - tan^{2} (θ)) (sec^{2} (θ))