已知3x+2y=0,求[1+(2*y^2)/(x^2-y^2)][1-(2y)/(x+y)]的值
问题描述:
已知3x+2y=0,求[1+(2*y^2)/(x^2-y^2)][1-(2y)/(x+y)]的值
答
由3x+2y=0得 y/x=-3/2 记y/x=m在第一个括号内的分式中,分子分母分别除以x^2;在第二个括号内的分式中分子分母分别除以x可得[1+(2*y^2)/(x^2-y^2)][1-(2y)/(x+y)]=[1+2m^2/(1-m^2)][1-2m/(1+m)]=[1+2*(-3/2)^2/(1-(...