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)
题型:解答题难度:一般来源:不详
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-)(x+)(x-). |
举一反三
把x2-y2+2y-1分解因式结果正确的是( )A.(x+y+1)(x-y-1) | B.(x+y-1)(x-y+1) | C.(x+y-1)(x+y+1) | D.(x-y+1)(x+y+1) |
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因式分 (1)25x2-16y2; (2)3(a-b)2-6(a-b)c+3c2. |
分解因式 (1)x2-2xy+y2-9 (2)n2(m-2)-n(2-m) |
分解因式:(1)a3b-9ab3(2)a2b-4ab2+4b3. |
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