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Popular >

simplify (-2-6i)^2

Solution

simplify

(- 2 - 6 i)^{2}

Solution

- 32 + 24 i

Solution steps

(- 2 - 6 i)^{2}

Apply Perfect Square Formula:

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

(- 2 - 6 i)^{2} = (- 2)^{2} - 2 (- 2) \cdot 6 i + (6 i)^{2}

= (- 2)^{2} - 2 (- 2) \cdot 6 i + (6 i)^{2}

Simplify

(- 2)^{2} - 2 (- 2) \cdot 6 i + (6 i)^{2} : 24 i - 32

= 24 i - 32

Rewrite in standard complex form:

- 32 + 24 i

= - 32 + 24 i

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\frac{1}{2} (x + \frac{1}{3}) = \frac{5}{3}

Frequently Asked Questions (FAQ)

What is (-2-6i)^2 ?
The solution to (-2-6i)^2 is -32+24i