What is (-4+sqrt(-9))^2 ?

The solution to (-4+sqrt(-9))^2 is 7-24i

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simplify (-4+sqrt(-9))^2

simplify

(- 4 + - 9)^{2}

7 - 24 i

Solution steps

(- 4 + - 9)^{2}

Apply Perfect Square Formula:

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

(- 4 + - 9)^{2} = (- 4)^{2} + 2 (- 4) - 9 + (- 9)^{2}

= (- 4)^{2} + 2 (- 4) - 9 + (- 9)^{2}

(- 4)^{2} + 2 (- 4) - 9 + (- 9)^{2} = - 24 i + 7

= - 24 i + 7

Rewrite in standard complex form:

7 - 24 i

= 7 - 24 i

- 3 \frac{1}{3} \cdot \frac{6}{2}

5 (1 + 4 x)

6 x^{2} (- 7 x^{2} - 8 x + 7)

6 m + 4 - 3 mn + m + 5 - 8 mn + 6

27 a^{3} - 8