考试前,我们需要充分准备,其中一项重要的内容就是整式乘法。下面是50道整式乘法题目,供同学们练习。
一、普通整式乘法
1. $(3x-4)(2x+5)=$
2. $(4a+2b)(4a-2b)=$
3. $(4x-5)(3x+2)=$
4. $(5a-3b)(5a+3b)=$
5. $(6x+7)(6x-7)=$
6. $(7y-8)(7y+8)=$
7. $(8x-9)(8x+9)=$
8. $(9a-10)(9a+10)=$
9. $(2x+3)(2x+3)=$
10. $(3a-4)(3a+4)=$
二、括号中有加减号
11. $(3x+4)(2x-5)=$
12. $(4a-2b)(4a-2b-3b)=$
13. $(7x+5)(3x-2)=$
14. $(5a+3b)(5a-3b+2b)=$
15. $(6x-7)(6x+1+6)=$
16. $(5y-6)(7y+2-8)=$
17. $(8x+9)(8x-5-4)=$
18. $(9a+10)(9a+7-10)=$
19. $(3x+2)(3x-2+5)=$
20. $(2a-3)(2a+3-7)=$
三、多项式乘法
21. $(3x+4x^2)(2x-5)=$
22. $(4a-2b+3a^2+b^2)(4a-2b-3b)=$
23. $(7x^2+5x+3)(3x-2)=$
24. $(5a^2+3ab+2b^2+2a+3b)(5a+3b-2b)=$
25. $(6x-7+4x^2)(6x+1+6)=$
26. $(5y^2-6y+2)(7y+2-8)=$
27. $(8x^2+9x+3)(8x-5-4)=$
28. $(9a^2+10a+4)(9a+7-10)=$
29. $(3x^3+2x^2-2x-3)(3x-2+5)=$
30. $(2a^2-3a+4)(2a+3-7a^2)=$
四、分配律、合并同类项等
31. $(2a+3b)(4a-2b)+(5a+7b)(2a-3b)=$
32. $(3x-2)(2x+1)+4x^2=$
33. $(4x^2+2x-7)(x-3)+2x^3=$
34. $(5a-3b)(5a+3b)-(4b-6a)(3a+5b)=$
35. $(6x+8)(3x^2-2)+(7x^2-5x+3)(2x+1)+3=$
36. $(8x+2)(4x^2-2)+(9x^2-5x+2)(3x^2+1)+5=$
37. $(9a^2+5a-1)(3a^2-4a+2)+2(a^3+a^2+3a-5)=$
38. $(2x^2-3x-4)+(3x^2+5x^2-6x)-(5x+4x^2)=$
39. $(3ab+2a+4b+3)(2ab-5b+a^2-3)+7=$
40. $(4x^2-5y^2+3xy+2x-3y)(x+2y-3)+6=$
习题的解答
1. $6x^2+7x-20$
2. $16a^2-4b^2$
3. $12x^2+x-10$
4. $25a^2-9b^2$
5. $36x^2-49$
6. $49y^2-64$
7. $64x^2-81$
8. $81a^2-100$
9. $4x^2+12x+9$
10. $9a^2-16$
11. $6x^2-7x-20$
12. $7a^2-25b^2$
13. $21x^2+13x-10$
14. $25a^2+5b^2$
15. $36x^2-25$
16. $35y^2-38y-48$
17. $64x^2-13$
18. $81a^2-144$
19. $6x^2+13x-4$
20. $-10a^2-13$
21. $8x^3+5x^2-15x-20$
22. $9a^2-2b^2+12a^3+b^2-12ab$
23. $21x^3+1x^2-7x-6$
24. $25a^3+18a^2b-5ab^2+2a^2+22ab+9b^2$
25. $24x^3+11x^2-35x-10$
26. $35y^3-34y^2-38y+16$
27. $64x^3+2x^2-39x-15$
28. $81a^3+91a^2-86a+40$
29. $9x^4+4x^3-4x^2-21x-15$
30. $-7a^4+2a^3+12a^2+13a+4$
31. $8a^2+31ab-13b^2$
32. $10x^2-2x-2$
33. $2x^5-x^4-12x^2+6x-21$
34. $31a^2-23b^2$
35. $23x^2-2x+16$
36. $35x^4+6x^3-29x^2+7x+3$
37. $27a^4+6a^3b-7a^2b^2-10ab^3+6a^3-19a^2+7a-1$
38. $2x^2-x-4$
39. $6a^2b+2a^3+11ab-17b^2+3$
40. $4x^3-2y^3-3x^2y+13xy-6y-9$