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Popular >

simplify i(3-2i)^2

Solution

simplify

i (3 - 2 i)^{2}

Solution

12 + 5 i

Solution steps

i (3 - 2 i)^{2}

Expand

(3 - 2 i)^{2} : - 12 i + 5

= i (- 12 i + 5)

Apply the distributive law:

a (b + c) = ab + a c

i (- 12 i + 5) = i (- 12 i) + i 5

= i (- 12 i) + i 5

i (- 12 i) = 12

i 5 = 5 i

= 12 + 5 i

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Frequently Asked Questions (FAQ)

What is i(3-2i)^2 ?
The solution to i(3-2i)^2 is 12+5i