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Popular >

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

Solution

simplify

(- i + 3)^{3}

Solution

- 8 i

Solution steps

(- i + 3)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

= - 8 i

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Frequently Asked Questions (FAQ)

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