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Popular >

simplify (-4+2i)^3

Solution

simplify

(- 4 + 2 i)^{3}

Solution

- 16 + 88 i

Solution steps

(- 4 + 2 i)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

= 88 i - 16

Rewrite in standard complex form:

- 16 + 88 i

= - 16 + 88 i

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Frequently Asked Questions (FAQ)

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