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Popular >

simplify (2-5i)^2

Solution

simplify

(2 - 5 i)^{2}

Solution

- 21 - 20 i

Solution steps

(2 - 5 i)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

2^{2} - 2 \cdot 2 \cdot 5 i + (5 i)^{2} : - 20 i - 21

= - 20 i - 21

Rewrite in standard complex form:

- 21 - 20 i

= - 21 - 20 i

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simplify (-1/2)^2 simplify

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Frequently Asked Questions (FAQ)

What is (2-5i)^2 ?
The solution to (2-5i)^2 is -21-20i