x^2-4y^2x^2+4xy+4y^2除以(x^2-2xy)

题目

x^2-4y^2x^2+4xy+4y^2除以(x^2-2xy)
结果是不是 1x(x+2y)呐？

答案

是(x^2-4y^2)/(x^2+4xy+4y^2)除以(x^2-2xy)吗?如果是的话：[(x²-4y²)/(x²+4xy+4y²)]÷(x²-2xy)=[(x²-(2y)²]/[x(x+2y)²(x-2y)]=(x+2y)(x-2y)/[x(x+2y)²(x-2y)]=1/[x(x+2y)]1/(x&...