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+

2
)(x-
2
)(x+
3
)(x-
3
).

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