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Popular >

simplify (-3+2i)^3

Solution

simplify

(- 3 + 2 i)^{3}

Solution

9 + 46 i

Solution steps

(- 3 + 2 i)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(- 3)^{3} + 3 (- 3)^{2} \cdot 2 i + 3 (- 3) (2 i)^{2} + (2 i)^{3} : 46 i + 9

= 46 i + 9

Rewrite in standard complex form:

9 + 46 i

= 9 + 46 i

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Frequently Asked Questions (FAQ)

What is (-3+2i)^3 ?
The solution to (-3+2i)^3 is 9+46i