n/m=2,则(m²+3mn-n²)/(m²+mn+2n²)的值是

问题描述:

n/m=2,则(m²+3mn-n²)/(m²+mn+2n²)的值是

n/m=2,n=2m
(m²+3mn-n²)/(m²+mn+2n²)
=3m²/11m²
]=3/11

即n=2m
所以n²=4m²
mn=2m²
所以原式=(m²+6m²-4m²)/(m²+2m²+8m²)
=3m²/11m²
=3/11