x^2-y^2+2x-4y-3因式分解

2025-04-13 16:30:50
推荐回答(3个)
回答1:

x²-y²+2x-4y-3
解:原式=x²+2x+1-y²-4y-4
=﹙x²+2x+1﹚-﹙y²+4y+4﹚
=﹙x+1﹚²-﹙y+2﹚²
=﹙x+1-y-2﹚﹙x+1+y+2﹚
=﹙x-y-1﹚﹙x+y+3﹚

回答2:

原式=(x+y)(x-y)+2x-4y-3
十字相乘
x+y 3
×
x-y -1
x系数3-1=2,y系数-3-1=-4
符合
原式=(x+y+3)(x-y-1)

回答3:

(x+y+3)(x-y-1)