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Popular >

simplify (-2+4i)^3

Solution

simplify

(- 2 + 4 i)^{3}

Solution

88 - 16 i

Solution steps

(- 2 + 4 i)^{3}

Apply Perfect Cube Formula:

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

(- 2 + 4 i)^{3} = (- 2)^{3} + 3 (- 2)^{2} \cdot 4 i + 3 (- 2) (4 i)^{2} + (4 i)^{3}

= (- 2)^{3} + 3 (- 2)^{2} \cdot 4 i + 3 (- 2) (4 i)^{2} + (4 i)^{3}

Simplify

(- 2)^{3} + 3 (- 2)^{2} \cdot 4 i + 3 (- 2) (4 i)^{2} + (4 i)^{3} : - 16 i + 88

= - 16 i + 88

Rewrite in standard complex form:

88 - 16 i

= 88 - 16 i

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Frequently Asked Questions (FAQ)

What is (-2+4i)^3 ?
The solution to (-2+4i)^3 is 88-16i