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

The solution to (2x+3sqrt(3))^2 is 4x^2+12sqrt(3)x+27

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

simplify

(2 x + 33)^{2}

4 x^{2} + 123 x + 27

Solution steps

(2 x + 33)^{2}

Apply Perfect Square Formula:

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

(2 x + 33)^{2} = (2 x)^{2} + 2 \cdot 2 x \cdot 33 + (33)^{2}

= (2 x)^{2} + 2 \cdot 2 x \cdot 33 + (33)^{2}

(2 x)^{2} = 4 x^{2}

2 \cdot 2 x \cdot 33 = 123 x

(33)^{2} = 27

= 4 x^{2} + 123 x + 27

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