SOLUTION: I seem to be having a small problem understanding Binomial Theorems as far as substitution and Expansion. Your assistancewith this problem would be greatly appreciated: It stat

Question 61330: I seem to be having a small problem understanding Binomial Theorems as far as substitution and Expansion. Your assistancewith this problem would be greatly appreciated:
It states: Use substitution to find the expansion of (c-2i)^5. Simplify your final result.
Please help!
Thanks in advance!
Answer by Cintchr(481) (Show Source): You can put this solution on YOUR website!

let's expand this out

Looking at just the first 2 quantities ... let's FOIL them
F:
O:
I:
L:
remember i^2 = -1
Combine like terms

Now the 3rd and 4th terms when FOILed, give the same response.
You now have the following

now multiply out the two trinomials

simplify

multiply, working the i^2 as well

combine like terms

Now using this quantity ... multiply it by the 5th (c-2i)

Multiply, working the i^2 as well

combine like terms

the c^2 cancel out

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