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问题: 已知(2x-3)^6=a0+a1(x-1)+a2(x-1)^^^^^

已知(2x-3)^6=a0+a1(x-1)+a2(x-1)^+a3(x-1)^3+......a6(x-1)^6,
求:a1+a3+a5=

解答:

已知(2x-3)^6=a0+a1(x-1)+a2(x-1)²+a3(x-1)³+...+a6(x-1)^6,
求:a1+a3+a5=

令x=2--->(4-3)^6 = a0+a1+a2+a3+...+a6 = 1
令x=0--->(-3)^6 = a0-a1+a2-a3+...+a6 = 3^6
相减:2(a1+a3+a5) = 1-3^6 = 1-729 = -728
--->a1+a3+a5 = -364