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Popular >

simplify (-2-i)^2

Solution

simplify

(- 2 - i)^{2}

Solution

3 + 4 i

Solution steps

(- 2 - i)^{2}

Apply Perfect Square Formula:

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

(- 2 - i)^{2} = (- 2)^{2} - 2 (- 2) i + i^{2}

= (- 2)^{2} - 2 (- 2) i + i^{2}

Simplify

(- 2)^{2} - 2 (- 2) i + 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 (-2-i)^2 ?
The solution to (-2-i)^2 is 3+4i