What is (-6-sqrt(-2))^2 ?

The solution to (-6-sqrt(-2))^2 is 34+12sqrt(2)i

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simplify (-6-sqrt(-2))^2

simplify

(- 6 - - 2)^{2}

34 + 122 i

Solution steps

(- 6 - - 2)^{2}

Apply Perfect Square Formula:

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

(- 6 - - 2)^{2} = (- 6)^{2} - 2 (- 6) - 2 + (- 2)^{2}

= (- 6)^{2} - 2 (- 6) - 2 + (- 2)^{2}

(- 6)^{2} - 2 (- 6) - 2 + (- 2)^{2} = 122 i + 34

= 122 i + 34

Rewrite in standard complex form:

34 + 122 i

= 34 + 122 i

\frac{8}{y ^{2} - 16} - \frac{7}{y ^{2} - y - 12}

x^{2} - 9 + x + 3

\frac{4}{50}

+ 9 u^{2} - 80 u - 9