问题
解答题
因式分
(1)-a3+2a2b-ab2;
(2)x2-11x-26;
(3)x2-5x+10y-4y2;
(4)x4-5x2+6(在实数范围内分解)
答案
(1)-a3+2a2b-ab2,
=-a(a2-2ab+b2),
=-a(a-b)2;
(2)x2-11x-26=(x-13)(x+2);
(3)x2-5x+10y-4y2,
=(x2-4y2)+(-5x+10y),
=(x+2y)(x-2y)-5(x-2y),
=(x-2y)(x+2y-5);
(4)x4-5x2+6,
=(x2-2)(x2-3),
=(x+
)(x-2
)(x+2
)(x-3
).3