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Popular >

simplify (-5-4i)^2

Solution

simplify

(- 5 - 4 i)^{2}

Solution

9 + 40 i

Solution steps

(- 5 - 4 i)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

(- 5)^{2} - 2 (- 5) \cdot 4 i + (4 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 (-5-4i)^2 ?
The solution to (-5-4i)^2 is 9+40i