分解因式(x-y)(x-y)-(x-y)-12网友们,明天要交呢

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分解因式(x-y)(x-y)-(x-y)-12网友们,明天要交呢

分解因式(x-y)(x-y)-(x-y)-12网友们,明天要交呢
分解因式(x-y)(x-y)-(x-y)-12
网友们,明天要交呢

分解因式(x-y)(x-y)-(x-y)-12网友们,明天要交呢
(x-y)(x-y)-(x-y)-12
=(x-y-4)(x-y+3)
把看成(x-y)一个整体
也可以设x-y=t
(x-y)(x-y)-(x-y)-12
=t^2-y-12
=(t-4)(t+3)
=(x-y-4)(x-y+3)

(x-y)^2-(x-y)-12
=(x-y-4)(x-y+3)

(x-y)(x-y)-(x-y)-12
=(x-y-4)(x-y+3)
可以把x-y看成一个整体

很简单呀,把(x-y)看作一个整体就行了
(x-y)(x-y)-(x-y)-12=(x-y-4)(x-y+3)

这样的题目要把(x-y)看成是一个整体,比如把(x-y)记作为A,那么(x-y)(x-y)-(x-y)-12就可以写为A的平方-A-12,这样利用十字叉乘法-12可以分为3、-4,
A的平方-A-12=(A-4)(A+3),再把A换回(x-y),
(x-y)(x-y)-(x-y)-12=(x-y-4)(x-y+3)