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Popular >

simplify i^2(1+i)^3

Solution

simplify

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

Solution

2 - 2 i

Solution steps

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

Apply imaginary number rule:

i^{2} = - 1

= - 1 \cdot (1 + i)^{3}

Expand

- 1 \cdot (1 + i)^{3} : - 2 i + 2

= - 2 i + 2

Rewrite in standard complex form:

2 - 2 i

= 2 - 2 i

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Frequently Asked Questions (FAQ)

What is i^2(1+i)^3 ?
The solution to i^2(1+i)^3 is 2-2i