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整式乘除与因式分解之计算题

发布时间:2013-12-11 16:33:23  

整式的乘除与因式分解

计算题

1. ①103×104; ②a·a3; ③a·a3·a5; ④(m+n)2·(m+n)3.

2. ①(103)5; ②(b3)4; ③(-4)3·(-)3. ④ (-3x)4

3.① (2b)3; ② (2a3)2; ③ (-a)3; ④-3x3y·2x2y2

4.①(-2a3b2)3 ② 2(-x2y) 5 ; ③(-m5)4(-m2)3 ④ 3x2y·(-2xy3); 14

5.①2a2(3a2-5b) ②(-2a2)(3ab2-5ab3) ③(5x+2y)(3x-2y)④(-3x2y)(xy2) 23

6.①3x2y·(-2xy3)②(-5a2b3)·(-4b2c)③2a2(3a2-5b)④(-2a2)(3ab2-5ab3).

11???227.(1)3x?2x2?2?15x2?1?5x; (2)??2x??3x??4?x?x??; 22????

4224?28.(1)a3?a4?a??a2????2a4?; (3) ??2a?a???(?9a) ?39?

9.(1)(m-5)(m+3); (3)(2x-3)(2x-4). (4)(x+2y-3)(x-2y+3);(5)(a+b+c)2

10.①(3y+2)(y-4)-3(y-2)(y-3) ②(y+2)(y-2)-(y-1)(y+5)

11. (1)(2a-b)(2a+b)-(3a-2b)(3a+2b). (2)(x?y?9)(x?y?9) 12.(1)(-x)(+x2)(x+); (2)(x+3)2-(x+2)(x-2). 121412

13.(1)8x2?(x?2)(3x?1)?2(x?1)(x?5);(2)5x(x2+2x+1)-(2x+3)(x-5).

14.(1)(a+b)2-(a-b)2; (2)(3x-4y)2-(3x+y)2; ③(b-2)(b2+4)(b+2)

15.(1)1.23452+0.76552+2.469×0.7655 ; (2)(x+2y)(x-y)-(x+y)2.

16.(1)(a+b)(a-2b)-(a+2b)(a-b) ; (2)(a?2b)(a?3b)?2(a?3b)(a?3b)

17.(1)(2x?3y)(2x?3y)?(x?y)2 (2)(2x+3y)2-(4x-9y)(4x+9y)+(2x-3y)2 18.(1)(?5xy)?3x2y?12x3?(?y2) (2)(a2)3?(a2)4?(a2)5. 20.(1)102×98; (2)1022; (3)992.

21.(1)(?2)0?(?)2. (2)(-3)2008·()2009 (3)100?99 22.(1)19982-1997×1999. (2)

2003

20032?2004?2002

74

12131212

23.(1)(3x+2)(3x-2); (2)(b+2a)(2a-b); (3)(-x+2y)(-x-2y). 24.(1)(4m+n)2; (2)(y-)2.

12

25.(1)()5993×252996 (2)(-)2001×(2)1000 (3)(1)2001×(-1)2002×(-)2003

152314131435

26. (1)(3xy2)2?(?4xy3)(?xy) (2). (-2ab)3(5a2b?

1213

ab?b) 24

27.(1) (2a)3?b5?12a3b2 (2). (21a4b-12a3b2-4a2)?(-3a2) 28. (1)(m+n)(m-n)(m2+n2) (2)(x+3)(x-3)(x2-9) 29. (1)(a+2b)(2b-a)-(a-2b)2 (2)(a+2b-c)(a-2b+c)

30. ① (6a-7a+36a)÷3a ②(-8abc÷4ab)·(3ab) 31.①[x(x2y2?xy)?y(x2?x3y)]?3x2y ②[(3x?4y)2?3x(3x?4y)]?(?4y)

1322

(a?2a?3a)?(?a) 32. ①[4xy(x-3xy)-(-2xy)]÷2xy ②33

22

2

3

22

5

2

3

2

45

5

32

32119

?3xy?2x??6xy?????3ab??2b???. ②33.①?. ③.?a?b???b?a?

22

3

2

34.① ??a?b??a?b???a?b?2?2b?a?b???4b.②??2x?y?2?y?y?4x??8x??2x.

????

35. (-6ax4y3 )2÷(-2ax2y2 )·8a2y

36.〔x2(6x+3)-3x2(-4y+1)〕·(x-2y)

37. ①(-x)3·(-x)·(-x)5 ②(-2x2y)3+8(x2)2·(-x2)·(-y)3

38. ①(a-2b+3)(a+2b-3) ②[(x?2y)?(3x?2y)(3x?2y)]÷(-5x)

(2x?5y)(2x?5y) 22213239. ①1a5b3? ② (?ab)?(?3a)24

40. ①(a-2b)(2b-a)-(2a-b)(-2a-b) ②(x-2)(x+3)+(x-5)(x+6)

41. ①(1-3y)(1+3y)+(1+3y)2 ②(2a-b+3c)2-(2a+b-3c)2

42. (21a2n+5-12an+3·an-1 )÷〔(-3an )2 (-2a2 )〕

43.(1)1998?5.2?1998?7.4?199.8?26 (2)4.45?13.7?445?0.889?44.5?0.26

44.(1)(?2)n?2(?2)n?1 (2)39?37?13?34

45.1234567890 12345678912?1234567890?1234567892

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