(x-y)²+7(x-y)+12 (2a-3b)²-(b+a)² 因式分解(x-y)²+7(x-y)+12 (2a-3b)²-(b+a)² 因式分解

(x-y)²+7(x-y)+12 (2a-3b)²-(b+a)² 因式分解(x-y)²+7(x-y)+12 (2a-3b)²-(b+a)² 因式分解
(x-y)²+7(x-y)+12 (2a-3b)²-(b+a)² 因式分解
(x-y)²+7(x-y)+12 (2a-3b)²-(b+a)² 因式分解

(x-y)²+7(x-y)+12 (2a-3b)²-(b+a)² 因式分解(x-y)²+7(x-y)+12 (2a-3b)²-(b+a)² 因式分解
解
(x-y)²+7(x-y)+12——将x-y看成一个整体,十字相乘法
=[(x-y)+3][(x-y)+4]
=(x-y+3)(x-y+4)
(2a-3b)²-(b+a)²——平方差
=[(2a-3b)-(b+a)][(2a-3b)+(b+a)]
=(2a-3b-b-a)(2a-3b+a+b)
=(a-4b)(3a-2b)

(x-y)²+7(x-y)+12
1 3
1 4
(x-y)²+7(x-y)+12
=(x-y+3)(x-y+4)
(2a-3b)²-(b+a)²
=(2a-3b+a+b)(2a-3b-a-b)
=(3a-2b)(a-4b)