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)(a2
题型:解答题难度:一般来源:不详
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)(a2-4ab+4b2)-(2a-4b)+1 (8)(x2-x)(x2-x-8)+12. |
答案
(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). |
举一反三
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