若(x^2+1)(x-3)^9=a0+a1(x-2)+a2(x-2)^2+a3(x-2)^3……+a11(x-2)^11
1个回答
令x = 2,得a0(2^2+1)*(2-3)^9=-5
令x = 3,得,a0+a1+……+a11=(3^2+1)*(3-3)^9=0
两式相减,得a1+a2+……+a11=0-(-5)=5
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