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Popular >

simplify (1+i)^5+(1-i)^5

Solution

simplify

(1 + i)^{5} + (1 - i)^{5}

Solution

- 8

Solution steps

(1 + i)^{5} + (1 - i)^{5}

(1 + i)^{5} = - 4 i - 4

(1 - i)^{5} = 4 i - 4

= - 4 i - 4 + 4 i - 4

Group like terms

= - 4 i + 4 i - 4 - 4

Add similar elements:

- 4 i + 4 i = 0

= - 4 - 4

Subtract the numbers:

- 4 - 4 = - 8

= - 8

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Frequently Asked Questions (FAQ)

What is (1+i)^5+(1-i)^5 ?
The solution to (1+i)^5+(1-i)^5 is -8