(1)x^2-xy+2x+y-3(2)x^2-4-2xy+y^2 (3)x-根号下xy-2y因式分解
1个回答
2016-11-09
展开全部
(1)
x²-xy+2x+y-3
= x²+2x-3-xy+y
= (x+3)(x-1) - y(x-1)
= (x-1)(x+3-y)
(2)
x²-4-2xy+y²
= x²-2xy+y²-4
= (x-y)²-4
= (x-y+2)(x-y-2)
(3)
x-√(xy)-2y
当x>0,y>0时:=(√x+√y)(√x-2√y)
当x<0,y<0时:= -{√(-x)+√(-y)}{√(-x)-2√(-y)}
x²-xy+2x+y-3
= x²+2x-3-xy+y
= (x+3)(x-1) - y(x-1)
= (x-1)(x+3-y)
(2)
x²-4-2xy+y²
= x²-2xy+y²-4
= (x-y)²-4
= (x-y+2)(x-y-2)
(3)
x-√(xy)-2y
当x>0,y>0时:=(√x+√y)(√x-2√y)
当x<0,y<0时:= -{√(-x)+√(-y)}{√(-x)-2√(-y)}
推荐律师服务:
若未解决您的问题,请您详细描述您的问题,通过百度律临进行免费专业咨询