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

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

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

simplify

(3 + 2 - x)^{2}

- x + 6 2 - x + 11

Solution steps

(3 + 2 - x)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

= - x + 6 2 - x + 11

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

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