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Popular >

simplify (1-i)^3-(1+i)^3

Solution

simplify

(1 - i)^{3} - (1 + i)^{3}

Solution

- 4 i

Solution steps

(1 - i)^{3} - (1 + i)^{3}

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

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

= - 2 i - 2 - (2 i - 2)

Expand

- (2 i - 2) : - 2 i + 2

= - 2 i - 2 - 2 i + 2

Group like terms

= - 2 i - 2 i - 2 + 2

Add similar elements:

- 2 i - 2 i = - 4 i

= - 4 i - 2 + 2

Add the numbers:

- 2 + 2 = 0

= - 4 i

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Frequently Asked Questions (FAQ)

What is (1-i)^3-(1+i)^3 ?
The solution to (1-i)^3-(1+i)^3 is -4i