问题
解答题
因式分
(1)3a2-27
(2)y2-2y+1
(3)2x(a-b)-(b-a)
(4)4x2-(y-z)2.
答案
(1)3a2-27,
=3(a2-9),
=3(a+3)(a-3);
(2)y2-2y+1=(y-1)2;
(3)2x(a-b)-(b-a),
=2x(a-b)+(a-b),
=(a-b)(2x+1);
(4)4x2-(y-z)2,
=(2x+y-z)(2x-y+z).
因式分
(1)3a2-27
(2)y2-2y+1
(3)2x(a-b)-(b-a)
(4)4x2-(y-z)2.
(1)3a2-27,
=3(a2-9),
=3(a+3)(a-3);
(2)y2-2y+1=(y-1)2;
(3)2x(a-b)-(b-a),
=2x(a-b)+(a-b),
=(a-b)(2x+1);
(4)4x2-(y-z)2,
=(2x+y-z)(2x-y+z).