因式分解:(1)2a2b-6ab(2)3x2y-3xy-6y(3)3ax+4by+4ay+3bx(4)(x2+y2)-16x2(5)(x-y)(x-y-3)-1
题型:解答题难度:一般来源:不详
因式分解: (1)2a2b-6ab (2)3x2y-3xy-6y (3)3ax+4by+4ay+3bx (4)(x2+y2)-16x2 (5)(x-y)(x-y-3)-10. |
答案
(1)2a2b-6ab=2ab(a-3);
(2)3x2y-3xy-6y =3y(x2-x-2) =3y(x+1)(x-2);
(3)3ax+4by+4ay+3bx =(3ax+3bx)+(4by+4ay) =3x(a+b)+4y(a+b) =(a+b)(3x+4y);
(4)(x2+y2)-16x2=(x2+4x+y2)(x2-4x+y2);
(5)(x-y)(x-y-3)-10 =(x-y)2-3(x-y)-10 =(x-y+2)(x-y-5). |
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