What is the coefficient of x9 in the expansion of (x+5)14?
What is the coefficient of x9 in the expansion of (x+5)14? Correct Answer 54 * 14C5
the binomial theorem is (x+y)a = Σ aCi xa-i yi. In order to get the coefficient of x9, we need to have a-i=9. Since a=14, i=5. Thus, the answer is aC5 * y4 = 54 * 14C5.
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Feb 20, 2025