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

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

Simplify

2^{2} - 2 \cdot 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