How can you rewrite the expression (8-5i)^2 in the form a+bi?

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asked Feb 26, 2016 81.6k views

2 Answers

George Grover · Answer 1 · 2016-03-01T02:23:45+0000

(a-b)^2 = a^2-2ab+b^2

(8-5i)^2 = 8^2-2(8)(5i)+(5i)^2

= 64-80i+25i^2

i^2=-1

So

= 64-80i+25(-1)

=64-25-80i

= 39 - 80i

which is your answer :)

How can you rewrite the expression (8-5i)^2 in the form a+bi?

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