SOLUTION: the coefficient of x^2 in the expansion of (2x+k)^6 is equal to the coefficient of x^5 in the expansion of (2+kx)^8. find k

SOLUTION: the coefficient of x^2 in the expansion of (2x+k)^6 is equal to the coefficient of x^5 in the expansion of (2+kx)^8. find k

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Question 1117630: the coefficient of x^2 in the expansion of (2x+k)^6 is equal to the coefficient of x^5 in the expansion of (2+kx)^8. find k
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

The coefficient of the x^2 term in is

The coefficient of the x^5 term in is

When I got this "ugly" answer, I guessed that there was an error in your statement of the problem. However, wolframalpha.com confirmed that this value of k does indeed make the two coefficients equal.
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