已知x/y=1/2,求(x²-2xy+3y²)/(x²+3xy+2y²)的值

问题描述:

已知x/y=1/2,求(x²-2xy+3y²)/(x²+3xy+2y²)的值

解: (x²-2xy+3y²)/(x²+3xy+2y²) 分子分母同时除以y²得 =[(x/y)²-2x/y+3]/[(x/y)²+3x/y+2] =[(1/2)²-2*1/2+3]/[(1/2)²+3*1/2+2] =(1/4-1+3)/(1/4+3/2+2) =...