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(2x+2/根号x)^6的展开项,常数项为
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(2x+2/根号x)^6的展开项,常数项为
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(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=576
192+192+576=960
所以常数项为960
=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=576
192+192+576=960
所以常数项为960
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