SOLUTION: write the binomial expression in simplified form of (2j-k^2)^3

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Question 82096This question is from textbook
: write the binomial expression in simplified form of (2j-k^2)^3This question is from textbook

Answer by funmath(2873) About Me  (Show Source):
You can put this solution on YOUR website!
write the binomial expression in simplified form of (2j-k^2)^3
The formula for this is:
(a+b)^n=a^n+C(1,n)a^(n-1)b+C(2,n)a^(n-2)b^2+...+C(n-1,n)ab^(n-1)+b^n
In your case a=2j, b=-k^2, n=3,
C(1,3)=3, C(2,3)=3 (This part can be found using Pascal's Triangle as well.)
%282j-k%5E2%29%5E3=%282j%29%5E3%2B%283%29%282j%29%5E2%28-k%5E2%29%2B3%282j%29%28-k%5E2%29%5E2%2B%28-k%5E2%29%5E3
=8j%5E3%2B3%284j%5E2%29%28-k%5E2%29%2B%283%29%282j%29%28k%5E4%29%2B%28-k%5E6%29
=highlight%288j%5E3-12j%5E2k%5E2%2B6jk%5E4-k%5E6%29
Happy Calculating!!!!