SOLUTION: Find the middle term in the expansion of (x+2y)^n k.x^4.y^4. Find k and n. Note; the (.) do not mean anything but to separate the variables with the respective exponents from

Algebra ->  Expressions-with-variables -> SOLUTION: Find the middle term in the expansion of (x+2y)^n k.x^4.y^4. Find k and n. Note; the (.) do not mean anything but to separate the variables with the respective exponents from       Log On


   



Question 1081189: Find the middle term in the expansion of (x+2y)^n k.x^4.y^4.
Find k and n.
Note; the (.) do not mean anything but to separate the variables with the respective exponents from other variables such as from x raised to 4 and y raised to 4 and k.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
If kx%5E4y%5E4 is the middle term, then n=4%2B4=8
C%288%2C4%29=70
%282y%29%5E4=16y%5E4
So then,
C%288%2C4%29x%5E4%282y%29%5E4=70x%5E4%2816y%5E4%29=1120x%5E4y%5E4
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k=1120