Question

已知x,y是不相等的正数。试比较x平方(x-y)与y平方(x-y)的大小。求过程。必采纳

Answer 1

x²(x-y)-y²(x-y) =(x-y)(x²-y²) =(x-y)(x-y)(x+y) =(x-y)²(x+y) x，y互不相等，(x-y)²>0 x，y均为正数，x+y>0 (x-y)²(x+y)>0 x²(x-y)>y²(x-y) 谢谢 希望采纳