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Popular >

simplify (1-2i)^2-(1+2i)^2

Solution

simplify

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

Solution

- 8 i

Solution steps

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

(1 - 2 i)^{2} = - 4 i - 3

(1 + 2 i)^{2} = 4 i - 3

= - 4 i - 3 - (4 i - 3)

Expand

- (4 i - 3) : - 4 i + 3

= - 4 i - 3 - 4 i + 3

Group like terms

= - 4 i - 4 i - 3 + 3

Add similar elements:

- 4 i - 4 i = - 8 i

= - 8 i - 3 + 3

Add the numbers:

- 3 + 3 = 0

= - 8 i

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Frequently Asked Questions (FAQ)

What is (1-2i)^2-(1+2i)^2 ?
The solution to (1-2i)^2-(1+2i)^2 is -8i