因式分解(1)3ax+6ay(2)25m2-4n2(3)3a2+a-10(4)ax2+2a2x+a3(5)x3+8y3(6)b2+c2-2bc-a2(7)(a

2024-11-23 05:20:44
推荐回答(1个)
回答1:

(1)3ax+6ay=3a(x+2y);

(2)25m2-4n2=(5m+2n)(5m-2n);

(3)3a2+a-10=(a+2)(3a-5);

(4)ax2+2a2x+a3
=a(x2+2ax+a2),
=a(x+a)2

(5)x3+8y3=(x+2y)(x2-2xy+4y2);

(6)b2+c2-2bc-a2
=(b-c)2-a2
=(b-c+a)(b-c-a);

(7)(a2-4ab+4b2)-(2a-4b)+1,
=(a-2b)2-2(a-2b)+1,
=(a-2b-1)2

(8)(x2-x)(x2-x-8)+12,
=(x2-x)2-8(x2-x)+12,
=(x2-x-2)(x2-x-6),
=(x-2)(x+1)(x-3)(x+2).