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Popular >

simplify (-2-8i)^2

Solution

simplify

(- 2 - 8 i)^{2}

Solution

- 60 + 32 i

Solution steps

(- 2 - 8 i)^{2}

Apply Perfect Square Formula:

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

(- 2 - 8 i)^{2} = (- 2)^{2} - 2 (- 2) \cdot 8 i + (8 i)^{2}

= (- 2)^{2} - 2 (- 2) \cdot 8 i + (8 i)^{2}

Simplify

(- 2)^{2} - 2 (- 2) \cdot 8 i + (8 i)^{2} : 32 i - 60

= 32 i - 60

Rewrite in standard complex form:

- 60 + 32 i

= - 60 + 32 i

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Frequently Asked Questions (FAQ)

What is (-2-8i)^2 ?
The solution to (-2-8i)^2 is -60+32i