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Popular >

simplify (-sqrt(3)-i)^3

Solution

simplify

(- 3 - i)^{3}

Solution

- 8 i

Solution steps

(- 3 - i)^{3}

Apply Perfect Cube Formula:

(a - b)^{3} = a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}

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

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

Simplify

(- 3)^{3} - 3 (- 3)^{2} i + 3 (- 3) i^{2} - i^{3} : - 8 i

= - 8 i

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Frequently Asked Questions (FAQ)

What is (-sqrt(3)-i)^3 ?
The solution to (-sqrt(3)-i)^3 is -8i