What is (-3+sqrt(-16))^2 ?

The solution to (-3+sqrt(-16))^2 is -7-24i

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simplify (-3+sqrt(-16))^2

simplify

(- 3 + - 16)^{2}

- 7 - 24 i

Solution steps

(- 3 + - 16)^{2}

Apply Perfect Square Formula:

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

(- 3 + - 16)^{2} = (- 3)^{2} + 2 (- 3) - 16 + (- 16)^{2}

= (- 3)^{2} + 2 (- 3) - 16 + (- 16)^{2}

(- 3)^{2} + 2 (- 3) - 16 + (- 16)^{2} = - 24 i - 7

= - 24 i - 7

Rewrite in standard complex form:

- 7 - 24 i

= - 7 - 24 i

4 a^{2} + 4 a + 1

\frac{1}{\frac{1}{x} + 4}

(x^{5})^{9}

(4 u^{2} v^{4})^{4}

(3^{3}) (3^{4})