What is (-2+sqrt(-100))^2 ?

The solution to (-2+sqrt(-100))^2 is -96-40i

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simplify (-2+sqrt(-100))^2

simplify

(- 2 + - 100)^{2}

- 96 - 40 i

Solution steps

(- 2 + - 100)^{2}

Apply Perfect Square Formula:

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

(- 2 + - 100)^{2} = (- 2)^{2} + 2 (- 2) - 100 + (- 100)^{2}

= (- 2)^{2} + 2 (- 2) - 100 + (- 100)^{2}

(- 2)^{2} + 2 (- 2) - 100 + (- 100)^{2} = - 40 i - 96

= - 40 i - 96

Rewrite in standard complex form:

- 96 - 40 i

= - 96 - 40 i

- 5 + 5

\frac{1}{2} \times \frac{6}{1}

y^{2} - 10 y + 9

\frac{4 y}{y}

\frac{16}{6} \div 8