Use the binomial formula find coefficient of the u^3p^13 ter

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Use the binomial formula find coefficient of the u^3p^13 term in the expansion of (3u-p)^16.
如题,

答案是：-15120 全部展开后：p^16 - 48 p^15 u + 1080 p^14 u^2 - 15120 p^13 u^3 + 147420 p^12 u^4 - 1061424 p^11 u^5 + 5837832 p^10 u^6 - 25019280 p^9 u^7 + 84440070 p^8 u^8 - 225173520 p^7 u^9 + 472864392 p^6 u^10 - 773778096 p^5 u^11 + 967222620 p^4 u^12 - 892820880 p^3 u^13 + 573956280 p^2 u^14 - 229582512 p u^15 + 43046721 u^16

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