Expert answers to "How to write this expression in the form..."

Foemicofeduz

Answered question

2022-12-31

How to write this expression in the form of

a + b i ? {(3 - 2 i)}^{3}

Dane Brennan

Beginner2023-01-01Added 9 answers

Given:

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

.
Then

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

So, a=3 and b=2i. Inputting:

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

27 - 54 i + (- 36) - (- 8 i)

27 - 36 - 54 i + 8 i

- 9 - 46 i

This is in the form a+bi, where a=-9 and b=-46

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