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Popular >

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

Solution

simplify

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

Solution

4

Solution steps

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

Expand

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

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

Expand

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

= 2 i (- 2 i)

Apply rule:

a (- b) = - ab

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

= - 2 i 2 i

Simplify

- 2 i 2 i : - 4 i^{2}

= - 4 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= - 4 (- 1)

Multiply the numbers:

- 4 (- 1) = 4

= 4

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Frequently Asked Questions (FAQ)

What is (1+i)^2(1-i)^2 ?
The solution to (1+i)^2(1-i)^2 is 4