100道题答案(因式分解 整式乘除)

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)

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(√3a+2b)(√3a−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−√2y)(x+√2y)

67．1

4(64x6−1)=1

4

(8x3−1)(8x3+1)=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)

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)