用分组分解法分解因式
很简单的
帮帮我
X^2+2Y-XY-2X
8A^3-12A^2B-6A^2C+9ABC
MNP^2-MNQ^2-M^2PQ+N^2PQ
参考答案:X^2+2Y-XY-2X
=(X^2-2X)-(XY-2Y)
=X(X-2)-Y(X-2)
=(X-Y)(X-2)
8A^3-12A^2B-6A^2C+9ABC
=(8A^3-12A^2B)-(6A^2C-9ABC )
=4A^2(2A-3B)-3AC(2A-3B)
=A(4A-3C)(2A-3B)
MNP^2-MNQ^2-M^2PQ+N^2PQ
=(MNP^2-M^2PQ)-(MNQ^2-N^2PQ)
=MP(NP-MQ)-NQ(MQ-NP)
=(MP+NQ)(NP-MQ)