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Popular >

simplify (-4+5i)^2

Solution

simplify

(- 4 + 5 i)^{2}

Solution

- 9 - 40 i

Solution steps

(- 4 + 5 i)^{2}

Apply Perfect Square Formula:

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

(- 4 + 5 i)^{2} = (- 4)^{2} + 2 (- 4) \cdot 5 i + (5 i)^{2}

= (- 4)^{2} + 2 (- 4) \cdot 5 i + (5 i)^{2}

Simplify

(- 4)^{2} + 2 (- 4) \cdot 5 i + (5 i)^{2} : - 40 i - 9

= - 40 i - 9

Rewrite in standard complex form:

- 9 - 40 i

= - 9 - 40 i

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Frequently Asked Questions (FAQ)

What is (-4+5i)^2 ?
The solution to (-4+5i)^2 is -9-40i