对称实问题

1.(2a+3b)(a-2b)-(3a=2b)(2b-a)

2.4m平方+8m+4

3.(x +4) +8x(x +4)+16x)的平方

4.已知(a+2b)的平方为-2a-4b+1=0,求(a+b)的2006次方。

5.9a的平方-4b的平方+4bc的平方。

6.8a立方B立方C立方-1

因式分解3a3b2c-6a2b2c 2+9ab 2c 3 = 3ab 2c(a2-2ac+3c 2)

3.因子分解xy+6-2x-3y = (x-3) (y-2)

4.因式分解X2 (x-y)+Y2 (y-x) = (x+y) (x-y) 2

5.因式分解2x2-(a-2b) x-ab = (2x-a) (x+b)

6.因式分解A4-9A2B2 = A 2 (A+3B) (A-3B)

7.如果已知x3+3x2-4包含x-1的因子,试着分解x3+3x2-4 = (x-1) (x+2) 2。

8.因式分解AB(x2-y2)+XY(a2-B2)=(ay+bx)(ax-by)

9.因式分解(x+y)(a-b-c)+(x-y)(b+c-a)= 2y(a-b-c)

10.因式分解A2-A-B2-B = (A+B) (A-B-1)

11.因式分解(3a-b)2-4(3a-b)(a+3b)+4(a+3b)2 =[3a-b-2(a+3b)]2 =(a-7b)2。

12.因式分解(A+3) 2-6 (A+3) = (A+3) (A-3)

13.因式分解(x+1)2(x+2)-(x+1)(x+2)2 =-(x+1)(x+2)

abc+ab-4a=a(bc+b-4)

(2)16x 2-81 =(4x+9)(4x-9)

(3)9x2-30x+25=(3x-5)^2

(4)x2-7x-30=(x-10)(x+3)

35.因式分解x2-25 = (x+5) (x-5)

36.因子分解x2-20x+100 = (x-10) 2

37.因式分解x2+4x+3 = (x+1) (x+3)

38.因式分解4x 2-12x+5 =(2x-1)(2x-5)

39.分解以下类别:

(1)3ax2-6ax=3ax(x-2)

(2)x(x+2)-x=x(x+1)

(3)x2-4x-ax+4a=(x-4)(x-a)

(4)25x2-49=(5x-9)(5x+9)

(5)36x2-60x+25=(6x-5)^2

(6)4x2+12x+9=(2x+3)^2

(7)x2-9x+18=(x-3)(x-6)

(8)2x2-5x-3=(x-3)(2x+1)

(9)12 x2-50x+8 = 2(6x-1)(x-4)

40.因式分解(x+2)(x-3)+(x+2)(x+4)=(x+2)(2x-1)

41.因式分解2 ax2-3x+2ax-3 =(x+1)(2ax-3)

42.因式分解9 x2-66x+121 =(3x-11)2

43.因式分解8-2x2 = 2 (2+x) (2-x)

44.因式分解X2-X+14 =它不能在整数内分解。

45.因式分解9X2-30x+25 = (3x-5) 2

46.因式分解-20x2+9x+20 = (-4x+5) (5x+4)

47.因式分解12 x2-29x+15 =(4x-3)(3x-5)

48.因式分解36x2+39x+9 = 3 (3x+1) (4x+3)。

49.因式分解21x 2-31x-22 =(21x+11)(x-2)

50.因式分解9 x4-35 x2-4 =(9 x2+1)(x+2)(x-2)

51.因式分解(2x+1)(x+1)+(2x+1)(x-3)= 2(x-1)(2x+1)。

52.因式分解2 ax2-3x+2ax-3 =(x+1)(2ax-3)

53.因式分解X(Y+2)-X-Y-1 =(X-1)(Y+1)。

54.因式分解(x2-3x)+(x-3) 2 = (x-3) (2x-3)

55.因式分解9 x2-66x+121 =(3x-11)2

56.因式分解8-2x2 = 2 (2-x) (2+x)

57.因式分解x4-1 =(x-1)(x+1)(x ^ 2+1)。

58.因式分解x2+4x-xy-2y+4 = (x+2) (x-y+2)。

59.因式分解4x 2-12x+5 =(2x-1)(2x-5)

60.因式分解21x 2-31x-22 =(21x+11)(x-2)

61.因式分解4x 2+4xy+y2-4x-2y-3 =(2x+y-3)(2x+y+1)

62.因式分解9x 5-35x 3-4x = X(9 x2+1)(X+2)(X-2)

63.分解以下类别:

(1)3x2-6x=3x(x-2)

(2)49x2-25=(7x+5)(7x-5)

(3)6x 2-13x+5 =(2x-1)(3x-5)

(4)x2+2-3x=(x-1)(x-2)

(5)12 x2-23x-24 =(3x-8)(4x+3)

(6)(x+6)(x-6)-(x-6)=(x-6)(x+5)

(7)3(x+2)(x-5)-(x+2)(x-3)= 2(x-6)(x+2)

(8)9x2+42x+49=(3x+7)^2 .