把下列各式分解因式: (1)4a2bc-8ab+32b2; (2)x(a-b)(b-c)-y(b-a)(b-c); (3)x4-81; (4)a24-ab+b2; (5)2x3-18xy2; (6)-y3-1/4y+y2.
问题描述:
把下列各式分解因式:
(1)4a2bc-8ab+32b2;
(2)x(a-b)(b-c)-y(b-a)(b-c);
(3)x4-81;
(4)
-ab+b2;a2 4
(5)2x3-18xy2;
(6)-y3-
y+y2. 1 4
答
(1)4a2bc-8ab+32b2=4b(a2c-2a+8b);(2)x(a-b)(b-c)-y(b-a)(b-c),=x(a-b)(b-c)+y(a-b)(b-c),=(a-b)(b-c)(x+y);(3)x4-81,=(x2+9)(x2-9),=(x2+9)(x+3)(x-3);(4)a24-ab...