(1-x)五次方+(1-x)六次方的展开式中,含x的项的系数是

问题描述:

(1-x)五次方+(1-x)六次方的展开式中,含x的项的系数是

(1-x)^5+(1-x)^6 (1-x)^3(1-x)^2+(1-x)^3(1-x)^3 (1-3x+3x^2-x^3)(1-2x+x^2)+(1-3x+3x^2-x^3)(1-3x+3x^2-x^3) =-3x^3-6x^3-x^3+(-x^3-9x^3-9x^3-x^3) =-10x^3+-27x^3 x^3的系数=-37