因式分解复习题

1、因式分解复习题-、因式分解1. x2y2 -y22.3a26a 33. 4x4-4x 3+x24. x 2 (x+y) -y2 (x+y)5.9(a -b)2 12(a2 -b2) 4(a b)26. x2 y2 一1 _2xy7.(a -b)(3a b)2 (a 3b)2(b-a)448. (a-b) -81b92(a+b) -4(a-b)102b -(a-b+c)11. 64a8-b212(a+2b) 2-(x-3y) 213. (2x-3y) 2-4a214. 36a4x16-49b6y8 15 . x2+8x+16169(x-y) 2+12(x2-y2)+4(x+y)17. (2y-3

2、x) 2-2(3x-2y)+118(2y-3x) 2+2(3x-2y)+12 219. a (b+c) -2ab(a-c)(b+c)+b2(a-c)20.2 2 2(a+b) -4(a -b )+4(a-b)2 2 / 2 2、24a b -(a +b).21. 3x4-48y 4.22. (x+1) 2-9(x-1) 2.23 . (x2+pq)2-(p+q) 2x2.26. m2(p-q)-p+q24. (1+2xy) 2-(x 2+y2)2.2527. (2m+3n)(2m-n)-4n(2m-n)28. (x+2y) 2-x 2-2xy .29. a(ab+bc+ac)-abc.222、

3、32 230. abc(a +b +c )-a bc+2ab c .二.解答题1131.已知 a b =2, ab = 2，求一a3b - a2b2ab3 的值。222 2 2 22、232.已知a、b、c是厶ABC的三边的长，试确定的 4b C -（b c -a）值的符号33、已知n为整数，试证明（n弋2-（n-1）2的值一定能被12整除三、分组分解法和十字相乘法1、2a(b -c)2 -3b 3c22、(x y) _4(x y _1)3223、x -2x y xy -x4、- 49x214x -1 y25. x2-22x-756. x2-6x-167.2 2x -13xy-30y2 28.

4、 x+13xy-30y9.x2-7xy-30y 210.ab-a-b+1 .443311 . x -2y -2x y+xy .2 212. x +4xy+3y .132 2.xy-18xy+65 .14. x2+18x-144 .152x +30x+144.16.x4+2x2-8 .17. 3x4+6x2-9 .18. -m4+18nri-17 .19.3x4-7x2y2-20y 4 .5320. x -2x -8x .21322.a -5a b-300ab .224n+k 2n+kk6a -a -35a .1-x 2-2xy-y23. x2-x-y 2-y 24. a 2+a2b-b2-ab2252 226. 4x -a -6a-9 273a 2+2b-2ab-3a28xy-1+x-y229. 7x -3y+xy-21x 30.x2+y2+2xy+ax+ay 31x 3+6x+y3+6y6 2.6.232. a +a +b+b 33. x2 2-a +x-a34. a2 2 2-c +b-2ab35. a 4-4a3+4a2-936. x22-7x-60五、分解因式应用求 a2b ab2ab 的