What is (-4+sqrt(-25))^2 ?

The solution to (-4+sqrt(-25))^2 is -9-40i

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simplify (-4+sqrt(-25))^2

simplify

(- 4 + - 25)^{2}

- 9 - 40 i

Solution steps

(- 4 + - 25)^{2}

Apply Perfect Square Formula:

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

(- 4 + - 25)^{2} = (- 4)^{2} + 2 (- 4) - 25 + (- 25)^{2}

= (- 4)^{2} + 2 (- 4) - 25 + (- 25)^{2}

(- 4)^{2} + 2 (- 4) - 25 + (- 25)^{2} = - 40 i - 9

= - 40 i - 9

Rewrite in standard complex form:

- 9 - 40 i

= - 9 - 40 i

8 49 x - 14 100 x

- \frac{( - 2 ) ^{2}}{4} + 7

- \frac{3}{4} \cdot (- 4)

∣ 9 i - 8 j + 7 k ∣

\frac{3}{4 + 2}