
整式的乘法及因式分解纯计算题100道.doc
10页单项式乘以单项式一、计算:(1) (2) (3)4y·(-2xy3);(4) (5) (6)(7) (8)(9) 10)(1) (2)(3) (4)(5) (6)(7) (8)(1) (2)(3) (4)(5) (6)单项式乘多项式(1)(2xy2-3xy)·2xy; (2)-x(2x+3x2-2);(3)-2ab(ab-3ab2-1); (4)(an+1-)·ab. (5)-10mn·(2m2n-3mn2). (6)(-4ax)2·(5a2-3ax2).(7)(3x2y-2xy2)·(-3x3y2)2. (8)7a(2ab2-3b). (9)x(x2-1)+2x2(x+1)-3x(2x-5).8.(﹣a2b)(b2﹣a+) (9).(﹣2a2b)3(3b2﹣4a+6) 10.2ab(5ab+3a2b) 11.. 12.计算:2x(x2﹣x+3) 13.(﹣4a3+12a2b﹣7a3b3)(﹣4a2)14.计算:xy2(3x2y﹣xy2+y) 15.(﹣2ab)(3a2﹣2ab﹣4b2)1. 2. 4. 6.7. 8.(1)(-a)8÷(-a5); (2)(x-y)7÷(y-x)6;(3)(-m4)3÷(-m)7; (4)x7÷(x5÷x3).21.计算:(1)(-a2b4)÷(-ab2)÷(-10ab); (2)-32a4b5c÷(-2ab)3·(-ac);(3)(n3-7mn2+n5)÷n2; (4)(12x4y6-8x2y4-16x3y5)÷4x2y3. 多项式与多项式相乘 一、计算1、(x+2)(x+6) 2、(x+5)(x+6) 3、(x+5)(x-7) 4、(x+2)(x-3)5、(-x-2)(x-6) 6、(-x-5y)(x-7y); 7、(x-3y)(x+7y) 8、(2x-y)(3x+2y); 9、(3x-1)(2x+1) 10、(2x-3)(3x-4); 11、(3x+2y)(3x-4y) 12、(-8x+5) (5x- 4),;13、(-4x-y)(-5x+2y) 14、(-2a-3b)(4a-2b) 15、(2x-3y)(4x2+6xy+9y2); 16、(a2+2)(a4-2a2+4) 17、(3x2+2x+1)(2x2+3x-1) 18、(y-1)(y-2)(y-3) 19、(a-4)(a+3) -(2 a+1)(a-3) 20、(x+2)(x-3)-x(x-2)21.(x-3)(x2一6x+1)-x(x2一x-3) 22.(a-2b)2+(a-b)(a+b)-2(a-3b)(a-b), (1)(2x+3y)(3x-2y) (2) (3x-1)(4x+5)(3)(x+3)(x+4)-(x-1)(x-2) (4)(3x+2y)(2x+3y)-(x-3y)(3x+4y) (5)(x+2)(x+3)-(x+6)(x-1) (1)(m+1)(2m-1); (2)(2a-3b)(3a+2b); (3)(2x-3y)(4x2+6xy+9y2); (1)(-ab)(ab2-2ab+b+1); (2)3ab(a2b-ab2-ab)-ab2(2a2-3ab+2a). (4)(2x-y)(x+y); (5)a(a-3)+(2-a)(2+a). 三、因式分解8、(1) (2)(3) (4) (5)3x3+6x4; (6)4a3b2-10ab3c; (7)-3ma3+6ma2-12ma; (8)6p(p+q)-4q(p+q). (9)x4+x3+x; (10)x(x-y)+y(y-x);(11)6x(a-b)+4y(b-a); (12)(a2-ab)+c(a-b); (13)4q(1-p)3+2(p-1)2.(1) (2)(3) (4)(5)4x2-y2; (6)-16+a2b2;(7)100x2-9y2; (8)(x+2y)2-(x-y)2; (9)16-b4. (10)a3-9a;(11)3m(2x-y)2-3mn2; (12)(a-b)b2-4(a-b).(1) (2)(3) (4)(5)3p2﹣6pq; (6)2x2+8x+8(7)2am2﹣8a; (8)4x3+4x2y+xy2(1) (2)(3) (4)(5) (6)32. -24x3-12x2+28x 33. 6(m-n)3-12(n-m)2 34. 3(a-b)2+6(b-a)35. 18(a+b)3-12b(b-a)2 36. (2a+b)(2a-3b)-3a(2a+b) 37.(x2+6x)2-(2x-4)2 38. 9(m+n)2-(m-n)2 39. (2x+3y)2-1 40. 9(a-b)2-16(a+b)2 41. (x+y)2-16(x-y)2 42. -16x4+81y4 43. 3ax2-3ay2 44. 2x3-8x 45. 7x2-63 46. (a2+b2)2-4a2b247. (m+n)2-6(m+n)+9 48. (3)(a-b)2-2(a-b)+1; 49. 4xy2-4x2y-y350. -x2-4y2+4xy 51. ; 52. ; 53. (a2+4)2-16a2 54. -4x3+16x2-26x 56. a2(x-2a)2-a(2a-x)357. 56x3yz+14x2y2z-21xy2z2 58. mn(m-n)-m(n-m) 59. -(2a-b)2+4(a -b)260. 4xy–(x2-4y2) 61. -3ma3+6ma2-12ma 62. a2(x-y)+b2(y-x)63. 64. 65. –2x2n-4xn66. 67. 68.; 69. ax2y2+2axy+2a 70. (x2-6x)2+18(x2-6x)+81 71. 72.9x2-y2-4y-4 73. 74.75. 76. 77. 78. 79. 。












