分解因式:(1)x3-25x(2) (x-1)(x-3)+1(3)(x2+1)2-4x2(4)a2(x-y)+4b2(y-x)(5)ab+a+b+1(6)
题型:解答题难度:一般来源:不详
分解因式:(1)x3-25x (2) (x-1)(x-3)+1 (3)(x2+1)2-4x2 (4)a2(x-y)+4b2(y-x) (5)ab+a+b+1 (6) 2x2y+xy-6y |
答案
(1)x3-25x, =x(x2-25), =x(x+5)(x-5);
(2) (x-1)(x-3)+1, =x2-4x+4, =(x-2)2;
(3)(x2+1)2-4x2, =(x2+1+2x)(x2+1-2x), =(x+1)2(x-1)2;
(4)a2(x-y)+4b2(y-x), =(x-y)(a2-4b2), =(x-y)(a+2b)(a+2b);
(5)ab+a+b+1, =(ab+a)+(b+1), =a(b+1)+(b+1), =(b+1)(a+1);
(6) 2x2y+xy-6y, =y(2x2+x-6), =y(x+2)(2x-3). |
举一反三
下列各式中,能用公式a2+2ab+b2=(a+b)2因式分解的是( )A.a2-1 | B.x2+xy+y2 | C.a2+4ab+4b2 | D.a2+2ab+2b2 |
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