求使分式x²-y²/a²x-a²y*ax+ay/(x+y)²的值等于5的a的值

问题描述:

求使分式x²-y²/a²x-a²y*ax+ay/(x+y)²的值等于5的a的值

解析:由题意可知:a≠0,x+y≠0且x-y≠0若使分式x²-y²/a²x-a²y*ax+ay/(x+y)²的值等于5,那么:(x²-y²)/(a²x-a²y)*(ax+ay)/(x+y)²=5(x+y)(x-y)/[a²(x-y)]...