2019精品教育因式分解复习题

1、因式分解复习题一、因式分解2 2 21. x y y2.3a2 6a3.4x4 3 2-4x +x224. x (x+y) -y (x+y)5.9(ab)2212(a222b2 ) 4(a b)26. x2 y2 1 2xy7.(ab)(3ab)22(a 3b)2(b a)448(a-b) 4-81b 4922(a+b) 2-4(a-b) 21022b2-(a-b+c) 21164a8-b 212(a+2b) 2-(x-3y)13(2x-3y) 2-4a 2144 16 6 836a4x16-49b6y8 152x2+8x+16169(x-y)2+12(x2-y 2)+4(x+y) 217(2

2、y-3x) 2-2(3x-2y)+118(2y-3x)2+2(3x-2y)+1192 2 2a2(b+c) 2-2ab(a-c)(b+c)+b 2(a-c)2 2 2 220(a+b) 2-4(a 2-b 2)+4(a-b) 2823. (x2+pq)2-(p+q) 2x2.21. 3x4-48y4.22. (x+1) 2-9(x-1) 224. (1+2xy) 2-(x 2+y2)2.25.4a2b2-(a 2+b2)2.26.m2( p-q)-p+q27. (2m+3n)(2m-n)-4n(2m-n)28.2 2(x+2y) -x -2xy .29. a(ab+bc+ac)-abc .30

3、.abc(a2+b2+c2)-a3bc+2ab2c2.解答题31.已知 a b 2, ab 2,a3b a2b2如3的值。.2 2 .2 2 2,232.已知a、b、c是 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 5)2 (n 1)2的值一定能被12整除、分组分解法和十字相乘法1、2a(b c)23b3c2、(x y)2 4(x y 1)3、32x 2x y2xy4、49x2214x 1 y5x2-22x-756 x2-6x-167x2-13xy-30y 2822x2+13xy-30y 2x2-7xy-30y 210ab-a-b+1 114

4、4 3 3 x -2y -2x y+xy 12 x2+4xy+3y21322x y -18xy+65 14x2+18x-14415 x2+30x+14416x4+2x2-8 173x4+6x2-9 18-m4+18m2-17 193x4-7x2y2-20y 42053x -2x -8x 212a-5a b-300ab 32224n+k 2n+k k 6a -a -35a 2322x -x-y -y 24a 2+a2b-b 2-ab2251-x 2-2xy-y 226224x -a -6a-9 27 3a +2b-2ab-3a 28 xy-1+x-y2927x2-3y+xy-21x 3022x +y +2xy+ax+ay 3133 x 3+6x+y3+6y326262a +a +b +b 33. x22-a +x-a34. a2222-c 2+b2-2ab35.432a -4a +4a-936. x2-7x-60五、 分解因式应用37、已知