已知x-3y=0,求x^2-2xy+y^2/2x+y乘(x-y)的值
问题描述:
已知x-3y=0,求x^2-2xy+y^2/2x+y乘(x-y)的值
答
x-3y=0,x=3y
x^2-2xy+y^2/2x+y乘(x-y)
=(x-y)^2/(2x+y)乘(x-y)
=(x-y)^3/(2x+y)
=(3y-y)^3/(6y+y)
=8y^2/7