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Popular >

simplify (-1-3i)^2

Solution

simplify

(- 1 - 3 i)^{2}

Solution

- 8 + 6 i

Solution steps

(- 1 - 3 i)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

(- 1)^{2} - 2 (- 1) \cdot 3 i + (3 i)^{2} : 6 i - 8

= 6 i - 8

Rewrite in standard complex form:

- 8 + 6 i

= - 8 + 6 i

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Frequently Asked Questions (FAQ)

What is (-1-3i)^2 ?
The solution to (-1-3i)^2 is -8+6i