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Popular >

simplify (-1-2i)^2

Solution

simplify

(- 1 - 2 i)^{2}

Solution

- 3 + 4 i

Solution steps

(- 1 - 2 i)^{2}

Apply Perfect Square Formula:

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

(- 1 - 2 i)^{2} = (- 1)^{2} - 2 (- 1) \cdot 2 i + (2 i)^{2}

= (- 1)^{2} - 2 (- 1) \cdot 2 i + (2 i)^{2}

Simplify

(- 1)^{2} - 2 (- 1) \cdot 2 i + (2 i)^{2} : 4 i - 3

= 4 i - 3

Rewrite in standard complex form:

- 3 + 4 i

= - 3 + 4 i

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Frequently Asked Questions (FAQ)

What is (-1-2i)^2 ?
The solution to (-1-2i)^2 is -3+4i