x的平方-y的平方-2x-4y-3 因式分解 问一下,如果用十字相乘是不是把负3拆开,怎么拆会快一点,有什么技巧

2025-04-13 16:22:59
推荐回答(3个)
回答1:

=(x+y)(x-y)-2x-4y-3

x+y 1
×
x-y -3
x系数1-3=-2
y系数=-3-1=-4
符合
所以原式=(x+y+1)(x-y-3)

回答2:

x^2-y^2-2x-4y-3
=x^2-2x+1-(y^2+4y+4)
=(x-1)^2-(y+2)^2
=(x+y+1)(x-y-3)

回答3:

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