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Popular >

simplify (-2-3i)^2

Solution

simplify

(- 2 - 3 i)^{2}

Solution

- 5 + 12 i

Solution steps

(- 2 - 3 i)^{2}

Apply Perfect Square Formula:

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

(- 2 - 3 i)^{2} = (- 2)^{2} - 2 (- 2) \cdot 3 i + (3 i)^{2}

= (- 2)^{2} - 2 (- 2) \cdot 3 i + (3 i)^{2}

Simplify

(- 2)^{2} - 2 (- 2) \cdot 3 i + (3 i)^{2} : 12 i - 5

= 12 i - 5

Rewrite in standard complex form:

- 5 + 12 i

= - 5 + 12 i

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Frequently Asked Questions (FAQ)

What is (-2-3i)^2 ?
The solution to (-2-3i)^2 is -5+12i