整式的乘法和因式分解純計(jì)算題100道

1、單項(xiàng)式乘以單項(xiàng)式1、(一3疋) 2X32、 4d4頭 4wr 3/)r4 (5a2&)3 (-3d)25x x * x * x6、(-3x) 2xx-7 4/ 3a28 -5a2b)(一3cr)9a 3工3x-3 110、4b c 一abc211, (13x10) (3xlO3)12. 2x3 (-3x)213. 4v - (-2,w;)14、(-3x2y) - (pn；Ja15 (2xl04) (-4x10)16、7x4 2x317. 3aV - (-4fl2&3c:)19. x2 y2(-xy5)220、(5沏 (-abcf2b (3.2x104)x(4x106)22. (-2aY (-3

2、a)223. 一5附(_10j4)-24. 一3嚴(yán) 4L25 (?x2y)3(-4x)2氛 4a&2 (-丄品:)827 (-5ax)(3x)228.（-皺咕怙（-阮出/）29.2x2(-yZ30. (_3左址 (-2ab2)24、31 h ( (3住b)32、(2疔(-5訶)33、(2anb)46、2xy - (-x2y2z) (-3x3,3)47、 (_*b) (8a2b2)235、4x?2 -(-x2yz3)836x(-2ab3c)2 -(2x)23九(-3。叭 (_2qZ/c)48、6a2b (x- v)3 ；慶 (v-x)249、(-4x2r) (-x2y2)-；尸38、（討咲2艸3

3、9、(-4x2y) - (-v2y：)-(”)40、4.V-2 (-5x3/) (-2x2y)50、(2xl03) (6.25xl05)(8x10、51、(-3a2b)-4ab3)2 ；41、(-2x2y)2 (-i.nz) - |42(一yz) -X2y2 (-vz3) 43s -6m2n (x-)3 Qx)2i23】52、(-1.5x10:):x(4x103)3x(2x104): i53、5a3b-(-3b)2 +(-6ab)2 -(-ab)-ab-4a)2144 12.5x10s (-4xl05)(3xl09)45. (|crb2c)2 (-|adc2)3 (|a3)46、2xy - (

4、_卜滬z) (-3x)OX厶54. (-x)2x3 (-2y)3 - (-2xy)2 -(-3x)3 v ;55、(1.8xl05)x(5xl0 J-(2.5 xl03)x(4xl09)丿斗wi()(4xy3r2x)(4) (203)(3106)(7)-0.25xy3)( 3 Xy)(p5x2 %)5(3) 4y .2xy3)j(3) 3.2mn2Io25m2n3)(4)Jxyz)00ixvJyz3)/、一 32: 一 23/(5)lx y )(X y )(8) (2x2y)( 門(mén)Xy2)(X2y2)xyz10) 2a2(x 2y)3ab2(2y x)3、/ 、3 312、3-3/(2)Ia

5、b )(2 a b c)7 3(5)5x -( ax)r2.25axy) (12x2y2)(6)x y (05xy) (2X)5(7) (5xy) -3x2y12x3 -(z y2)4(1) 4xy2 x2yNw)8(3)5xIax)T225axy) (1.2x2y2)(8) 5a3bT3b)2+(6ab)2Tab)ab3T4a)2(2) (-)(2ac)7 3N2 2 3 3 (4) x yl05xy) (2X) -xy(5) ( _5xy) 3x2y-12x3 (_7y2)(6) 5ab (_3b)2 (_6ab)2 (_ab)-ab3 (-4a)2410. 2ab (5ab+3a2b)1

6、1.(-冬/)2 (3iy-4:xy2+l)單項(xiàng)式乘多項(xiàng)式2(1)(2xy - 3xy) 2xy;2 2(2) x(2x + 3x - 2); (3) 2ab(ab 3ab - 1);12 .計(jì)算:2x (x2 - x+3)13. (-4a3+12a2b- 7a3b3) (- 4a2)3 n +1lb(4)( 4an+1 - p ab.(5)-10mn (2m2n-3mn2).(6)(-4ax)2 (5a2-3ax2).32 22(3x 2y-2xy2) (-3x y ) . (8)7a(2ab-3b).(9) x(x 2-1)+2x 2(x+1)-3x(2x-5).14 .計(jì)算：xy2 (3

7、x2y - xy2+y)15. (- 2ab) (3a2- 2ab- 4b2)8.（-缶）（b2- ；a+）(9) . (-2a2b) 3 (3b2- 4a+6)1. (-3x2)(-x2 2x-1)=2312 (2x 4x3 - 8) (x2)=22(a2b2 - ab 1) 3ab(1-ab)二.(-3x2)(x2 - 2x- 3) 3x(x3 - 2x2 - 5)=2 28m(m 3m 4) m (m 一3) =6.7x(2x -1)-3x(4x -1)-2x(x 3) 1 二多項(xiàng)式與多項(xiàng)式相乘、計(jì)算1、(x + 2) (x + 6)2、(x + 5) (x+ 6)3、(x + 5) (

8、x-7)4 、(x+2)(x 3)7. (_2a2b)2(ab2 - a2b a3) =8-(-x)2 (-2x2y)3 2x2(x6y3 -1)=5、( x 2) (x 6)6、( x 5y) (x 7y);7、(x 3y)(x+7y)(1)( a5) ;(2)(xy)7* (y x)6; (3)( RT)3- ( m)7;(4)x7 十(x 5* x3).& (2x y) (3x+ 2y);9、(3x 1)(2x+1)10、(2x 3) (3x 4);21.計(jì)算:2 2 4 1 2(1)( 5ab)*( 4ab)*(- 10ab)；32a4b5c - ( 2ab)3（嚴(yán)）；11、 (3x+

9、2y) (3x4y)12(-8x+5) (5x- 4),4 62 43 523(4)(12xy 8x y 16x y )十 4x y .13、( 4x y)( 5x+ 2y) 14、(-2a 3b) (4a 2b) 15、( 2x 3y)( 4x2 + 6xy+ 9y2);16、(a2+ 2)( a4 2a2 + 4)17、(3/ + 2x+ 1)(2/+ 3x 1)18、(y- 1)( y-2)( y-3)(1)( 2x+ 3y)( 3x2y)2) ( 3x 1)( 4x+ 5)(2)3ab(a 2b ab2 ab) ab2(2a2 3ab+ 2a).(4)g(2x y)(x + y);(5

10、)( x + 2)( x + 3) (x + 6)( x 1)(1)(m+ 1)(2m 1);(2)(2a 3b)(3a + 2b);20、(x+2) (x 3) x (x 2)19、(a 4) (a+3) (2 a+1) (a 3)(2x 3y)(4x 2+ 6xy + 9y2);(1)(1222ab)(-ab -2ab+fb+ 1);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),(5)a(a 3) + (2 a)(2 + a).(3)( x+ 3)( x+ 4) (x 1)( x 2)(4)(

11、3x+ 2y)( 2x+ 3y) (x 3y)( 3x+4y)三、因式分解8、(1) 15a3 10a212abc- 3bc2 6p(p q) - 4q(p q)m(a 3) 2(3 a)(5)3x3+ 6x4;(6)4a3b2 10ab3c ；32(7) 3ma + 6ma 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);2(12)(a ab)+ c(a b);32(13)4q(1 p) + 2(p 1).(1) 12 1 2 9a2 -4b2ab252/(4)x y -4y

12、- a4 16(5)4x2 y2 ；(6) 16+ a2b2;22100x 9y ;(8)(x + 2y)2 (x y)2;4(9)16 b .(10)a3 9a;22(11)3m(2x y) 3mn ;(12)(a b)b2 4(a b). x2+12x + 36(2)2 2_2xy _ x y(3) ax2 2a2x a32 2(4)-3x 6xy-3y(5)23p - 6pq；2(6) 2x +8x+838.2 29(m + n) (m n)39.2(2x+ 3y) 12 240.9(a b)2 16(a+ b)2(7)22am - 8a;(8).3224x +4x y+xy41.2 2

13、(x+ y) 16(x y)42.4416x + 81y2c243. 3ax 3ay(1)2 2-m 2mn -n(2)4x -1644.2x3 8x45.7x2 6346. (a2+ b2)2 4a2b2(3)x3 2x2y xy2(4)_x _2247. (m + n) 6(m + n) + 948.(3)(a b)2 2(a b) + 1;49. 4xy2 4x2y y3(5)(x2 y2)2 -4x2(6)x2- xy - 30y232.24x3 12x2+ 28x33.6(m n )3 12(n m)234.3(a b)2 + 6(b a)2 250. x 4y + 4xy51. (

14、x y)2 10(x y) 25 ；52.16a4 -72a2b281b4 ；53. (a2+ 勺2 16a23254.-4x+16x-26x60.63.66. 2a(x-a) 4b(a-x)-6c(x-a) 67.m4-16n468.9(m n)2_16(m-n)2；56.1 a2(x- 2a)2- -a(2a-x)3241 2 269. ax y +2axy+2a270. (x2-6x)2+18(x2- 6x)+8171. (x 1)(x 2)(x 3)(x 4)-2432 22 21 21 256x yz+14xy z 21xy z58. mn (m n) m(n m)59.-(2a- b) +4(a -b)4257.72. 9x2 y2 4y 473.x2 _ 4xy _ 1 4y274. x