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

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

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simplify (3+xsqrt(2))^2

simplify

(3 + x 2)^{2}

9 + 62 x + 2 x^{2}

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}

3^{2} = 9

2 \cdot 3 x 2 = 62 x

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

= 9 + 62 x + 2 x^{2}

5^{2}

(z + 6 i)^{2}

\frac{( s + 1 ) ^{2}}{s ^{2} - s - 6}