(2x+2/根号x)^6的展开项,常数项为
问题描述:
(2x+2/根号x)^6的展开项,常数项为
答
(2x+2/根号x)^6=2^6*(x+1/根号x)^6=64*(x+1/根号x)^3*(x+1/根号x)^3=64*[x^3+3x根号x+1/(x根号x)+3]*[x^3+3x根号x+1/(x根号x)+3]常数项有64*3*x根号x*1/(x根号x)=192,64*1/(x根号x)* 3x根号x=192,64*3*3=576192+192+...