100道题答案(因式分解 整式乘除)

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因式分解 & 整式乘除 100题（答案）

1．3ab２ c(a２ 2ac+3c２)

2．3ab２ c(a２ 2ac+3c２)

3．(x 3)(y 2)

4．(x+y)(x y)２

5．(2x a)(x+b)

6．a2(a+3b)(a 3b)

7．(ay+bx)(ax by)

8．2y(a b c)

9．[3a b 2(a+3b)]2=(a 7b)2

10．(a+b)(a b 1)

11．(a+3)(a 3)

12． (x+1)(x+2)

13．a(bc+b 4)

14． (4x+9)(4x 9)

15．(3x 5)2

16．(x 10)(x+3)

17．(x+5)(x 5)

18．(x 10)2

19．(x+1)(x+3)

20．(2x 1)(2x 5)

21．3ax(x 2)

22．x(x+1)

23．(x 4)(x a)

24．(5x 9)(5x+9)

25．(6x 5)2

26．(2x+3)2

27．(x 3)(x 6)

28．(x 3)(2x+1)

29．2(6x 1)(x 4)

30．(x+2)(2x 1)

31． (x+1)(2ax 3)

32．(3x 11)2

33．2(2+x)(2 x)

34．整数内无法分解

35．(3x 5)2

36．( 4x+5)(5x+4)

37．(4x 3)(3x 5)

38．3(3x+1)(4x+3)

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39．(21x+11)(x 2)

40．(9x2+1)(x+2)(x 2)

41．2(x 1)(2x+1)

42．(x+1)(2ax 3)

43．(x 1)(y+1)

44．(x 3)(2x 3)

45．(3x 11)2

46．2(2 x)(2+x)

47．(x 1)(x+1)(x2+1)

48．(x+2)(x y+2)

49．(2x 1)(2x 5)

50．(21x+11)(x 2)

51．(2x+y 3)(2x+y+1)

52．x(9x2+1)(x+2)(x 2)

53．3x(x 2)

54．(7x+5)(7x 5)

55．(2x 1)(3x 5)

56．(x 1)(x 2)

57．(3x 8)(4x+3)

58．(x 6)(x+5)

59．2(x 6)(x+2)

60．(3x+7)2

61．2x2y( 3ax+4y 1)

62．(x y)2(3a2 4b2) =(x y)2( +2b)( 2b)

63．(a m)[(a m)2 3y(a m) (x y)]

64．4(a 1)(2x+1)

65．(1 a)(m+mn+1) 如:m+n+mn+1=(m+1)(n+1)

66．16(x2+2y2)(x +

67．4(64x6 1)=4(8x3 1)(8x3+1)=4(2x 1)(4x2+2x+1)(2x+1)(4x2 2x+1)

68．a12+2a6b4+b8 4a6b4=a12 2a6b4+b8=(a6 b4)2=(a3+b2)2(a3 b2)2

69． 2(m8 256)= 2(m4 16)(m4+16)= 2(m2 4)(m2+4)(m4+16)= 2(m

2)(m+2)(m2+4)(m4+16)

70．(x+y 4)(x2+2xy+y2+4x+4y+16) 或m3 64n3=(m 4n)(m2+4mn+16n2)

71．(x 1)(x+2)2

72． (ab+b+a+b)(ab+b a b)= (ab+2b+a)(ab a)= a(b 1)(ab+2b+a)

73． [(a+x)(a x)]2 4ax(x a)2 = (a+x)2(a x)2 4ax(x a)2 = (x a)2[(a+x)2 4ax] = (x a)2(a2+2ax+x2 4ax) = (x a)2(x a)2 = (x a)4．

74． 15(x y)(2x 3y)(3x 2y)

75．(x+2)(x+3)(x2+5x 1)

76．(x2+6x+6)令x2+6x=a

77．(x+1)(y+1)(xy+x+y 1)

78．(x y)(x+4) 111

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79．(a+b c)(a b+c)

80．(a b)(a+c)

81．(x+2y z)(x 2y+z)

82．(x+1)(x+2)(x+3)

83．(x+1)(x 4)(x+4)(x 2)

84．a(a b)2

85．(5 x)(x 1)

86．(x+y 2)(x y 2)

87．(x+3)(x 2)(x+2)

88．(x+4)(x 1)(x+1)(x+2)

89．(a b)(a+b+c)

90．(x+y+1)(x y 3)

91．(2a b)(2a+b+3)

92．(3a 2b+c)(3a+2b c)

93．(a b+c)(a b c)

94．(x2+x+5)(x+2)(x 1)

95．x(2x 3)(x 3)(2x+3)令2x2 3x=a

96．(x2+4x 3)(x2+4x+1)

97．(a2+ab 1)(b2+ab 1) 98．3(x 2)(y 2)(x y)

99．(3x+y 3)(3x y+1) 100．(a2+2a+2)(a2 2a+2)