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

The solution to (-3-3sqrt(-3))^2 is -18+18sqrt(3)i

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

simplify

(- 3 - 3 - 3)^{2}

- 18 + 183 i

Solution steps

(- 3 - 3 - 3)^{2}

Apply Perfect Square Formula:

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

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

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

(- 3)^{2} - 2 (- 3) \cdot 3 - 3 + (3 - 3)^{2} = 183 i - 18

= 183 i - 18

Rewrite in standard complex form:

- 18 + 183 i

= - 18 + 183 i

- 180 + 9125

27 x^{10} - 3

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\frac{5}{6} \div 3