(x+2y)(2x-y)2(x+y)3的展开式中,各项系数之和,
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(x+2y)(2x-y)2(x+y)3的展开式中,各项系数之和,
(x+2y)(2x-y)2(x+y)3的展开式中,各项系数之和,
(x+2y)(2x-y)2(x+y)3的展开式中,各项系数之和,
24.
把各项的系数挑出来
(1+2)(2+1)平方(1+1)三次方
=(1+2)(4-4+1)(1+1+3+3)
=(4-4+1+8-8+2)(1+1+3+3)
=(1+2)(1+1+3+3)
=24.
把x,y带进去是一样的效果,我偷了个懒而已.但其实你看,把系数挑出来直接计算的话,结果也是24.解释不清楚,但我真心拆开算了一遍.相信咱.
过程写出来麻烦,,就乘开就行 结果是36
令X=1,Y=1,则(x+2y)(2x-y)2(x+y)3=3×1²×2³=24
各项系数之和是24
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