SOLUTION: In the expansion of (x + 4y)^12, the numerical coefficient of the 5th term is

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Question 1151414: In the expansion of (x + 4y)^12, the numerical coefficient of the 5th term is
Answer by MathLover1(20850) About Me  (Show Source):
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In the expansion of %28x+%2B+4y%29%5E12, the numerical coefficient of the 5th term is
5th term= nC%28r-1%29%2Ax%5E%28n-r%2B1%29%2A%284y%29%5E%28r-1%29+where n=12, r=5

5th term= 12C%285-1%29%2Ax%5E%2812-5%2B1%29%2A%284y%29%5E%285-1%29+

5th term= 12C4%2Ax%5E8%2A%284y%29%5E4

5th term= %2812%21%2F%28%2812-4%29%214%21%29%29%2Ax%5E8%2A256y%5E4

5th term= 495%2Ax%5E8%2A256y%5E4

5th term= ‭126720x%5E8%2Ay%5E4