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

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

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simplify (3+xsqrt(3))^2

simplify

(3 + x 3)^{2}

9 + 63 x + 3 x^{2}

Solution steps

(3 + x 3)^{2}

Apply Perfect Square Formula:

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

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

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

3^{2} = 9

2 \cdot 3 x 3 = 63 x

(x 3)^{2} = 3 x^{2}

= 9 + 63 x + 3 x^{2}

\frac{1}{3} (1 = 3 A + B + (- 9) C + D) \frac{1}{3}

(3 + 2 z i)^{2}

\frac{1}{81} (sin (9 (t - x))) + 9 x cos ((t - x) 9)

- \frac{n ( d ^{2} v + e d v + d v f - d b + e v f - e b )}{m c ( d + e )}

(1.6707100000000 \dots + 0.8976700000000 \dots \cdot i)^{4}