What is (3+xsqrt(6))^2 ?

The solution to (3+xsqrt(6))^2 is 9+6sqrt(6)x+6x^2

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simplify (3+xsqrt(6))^2

simplify

(3 + x 6)^{2}

9 + 66 x + 6 x^{2}

Solution steps

(3 + x 6)^{2}

Apply Perfect Square Formula:

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

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

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

3^{2} = 9

2 \cdot 3 x 6 = 66 x

(x 6)^{2} = 6 x^{2}

= 9 + 66 x + 6 x^{2}

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

\frac{( y - y ^{'} ( x ) x ) x + y ( y ^{'} ( x ) x - y )}{x y ^{2}}

(x^{\frac{1}{2}} + y^{\frac{1}{3}})^{3}

(2 sin (x) + 1)^{2}