整式乘除计算(不含因式分解)200题

1、1(x-2y) 2 (2y-x)32.xn.xn-1+xn+1 xn-2+(-x)3 (-x)2n-43. 已知 52x+1 =125 求( x-2) 2001+3x4. 已知2x=3 求2x+35 (m-n)2 (n-m)3 (n-m)46 .(y-x)3 (x-y)5+( x-y) 6 (y-x)27,(a+b)9 (-a-b)4 +(a+b)6 (a-b)78. 已知x3?xa?x2a+1=x31 求 a的值。10.333333333329已知2m=4 ， 2n=16 求 2m+n 的值11. 82002 0.125200212. ( -8) 90.125813. 3(X2)3X3-(2

2、X3)3+(5X)2X714. a a5 (a2)3 (-2a3)216.(-2a)6-(-3a3)2-(2a)2318 已知44 83=2x 求 x15. 2(a4)2 (a3)3-(-a)( a8)2+(-3a2)2(-a4)3(-a)17. 已知m=c3? c?c4? b? bn 求 m19 2a27b37c=1998,a, b, c 是自然数20、 (9n)2=316求 n 值求（a-b-c） 2002的值21如果2?8n?16n=222 求 n 值22 (x+y)23(x+y)34-2(x+y)3623.3555 4444 5 333 三个数大小24。若a=255,b=344c=4

3、33 比较a,b,c.的大小25.11112222与 22221111大小26。-6a2b(x-y)3 ab2(y-x) 2327(-7xmym)2(-xy)3-4x2m(-x)3y2my3 28.(-2an+1bn)2(-3anb)2(-a2c)29(x+2y)35-(x+2y)2530.3(a+b)22(-a-b)3+2(a+b)3(-a-b)231(2 1103)(25 102)2(-2 1010)3432.若 2a=3,2b=6,2c=12 求证 2b=a+c33.( 1 32 a2b-3 13 a3b2+1) (0.2ab)34.12xny23yn-1-2xyn+1+(-1)8883

4、5.(3a2b-2ab2-4b3)(-4a2b)36 .3xn(xn+1-xn+xn-1-1)37. 4(x-y+z)-2(x+y-z)-3(-x-y-z)38.(-5xy)2(-xy)3+(4x2y-3x)(-x3y4)+x5y539.5x-2(x+2)-3x-2(3-5x)+740. 2x2(x2+3xy-y2)-xy(6x2-4y2)+y2(2x2-4xy+y2)41.若x2+x-1=365,a+b+c=5 1, a(x2+x+1)+b(x2+x+1)+c(x2+x+1)的值42.a-b+c) (-a+b+c)43. (-7+a+b)(-7-a-b)44. (-3x+4)(-3x-4)4

5、5.4(x-2)(x+5)-(2x-3)(2x+1)=546. (3x-2)(2x-3) (6x+5)(x+1)47. 2x(x+1)+(-2 x)2+1 x(3x+4)+3x248 10-4(x2+x-3) 2(-2x2+x-1)1214149 (1+ ) (1+)(1+)(1+22281161)+50。1.02 0.9822512001 1999-2000252。982533（ 4+1 ） （ 42+1 ） +1 （利用乘方公式）544x(x-1)2+x(2x+5)(5-2x)55 ( 4y+3x-5z) (3x-4y+5z)56(x-1)(x4+1) (x2+1)(x+1)57. 2(3

6、a+1)(1-3a)+(a-2)(2+a)58. (2-y)(y+2x)-(2y+x)(2y-x)59 4x(x2-2x-1)+x(2x+5)(5-2x)60. 5x2-(2x+3)(x-3)+2(x=1)(x-1)-(3x-1)(1+3x)61. (a+1)(a2+1)(a4+1) .(a2000+1)11162 . (1- 22)(1-32 )(1- 42)(1-112)(1-2)91064. (a+b+c)263(a+b)2(a-b)2-(2a+b2(2a-b)265 (a-b)(a+b)2-2ab(a2-b2)66. 20002-2001 199967 99 101 999968(3a

7、2+ 1 b)(3 a2 1 b)(9a4- 1 b2)22469. ( 1 x-y)2+( 1 x+y)2( 1 x2-2y2)22270. (a+1)(a+3)(a+5)(a+7)71. (a+3b)2-2(a+3b)(a-3b)+(a-3b)272.(y+3)2-3y2+2(y-1)2=1373. (2x-5)2+(3x+1)213(x+1)(x-1)74. 已知 a- =3 求a2+2的值75 已知a2b2+a2+b2+1=4ab 求 a,b值 76. (3x-2y+ 1 )2377 已知.a2+b2+c2-ab-bc-ca=0 求证a=b=c 78. (m-n)2(m-n)32(m-

8、n)479 已知(a+b)2=7,(a-b)2=4 求 a2+b2和 ab 的值 80.( a2a4)3(-a3)28x2104.(-3x2+9x3y-5x2y2) (-3 x)81-2-3-8-11 (-1) -2(-2)-27082. 已知10m=3,10n=2,求102m-n值83(a3)3(-a4)3(a2 )3(a3)284. (a+2b)m+1(a+2b)m-3(a+2b)285,(a6a2)2(a9a3) a286. 若 y2m-1y=y2 求m-2的值187. 103+()-230(-2) 20020-(-3)30.3-1+I-13I88.x2+x-2=5 求 x4+x-4 的

9、值89 x+y-1=10,x3+y-3=100 求x2+y-2 的值90.35a7 b3c 7a4bc91 a3b4c2 (- 43 ab3)92.4(x-2)2+12(x+2)(x-2)-8(x-1)2(x-2)4(x-2)94.93. (-2 xy)2(-z2)3-x(-y)2(xz2)(2ab)2(a2-b2)-(2a2b2) 4b2+4a2b495. (3ab)2 a3-2a2(3ab2)3 1 b(-3a2b)296.若 ax3my123x3y2n=4x6y6 求 (2m+n-a)-n 的值97 l n-2 l+(m+n-1)2=0 求m50n-3的值98.3(x+b)3-6(x+b

10、)2+9(x+b)3(x+b)299.已知8a3bm28an-1b2=b27求 m- n100.(2m3n2+3m2n2 mn3+4mn)(-mn)102(-3 xy)2x3-2x2 (3xy2)2y2101(0.25a3b2- 1 a4b5- 1 a5b3) (-0.5a3b2)26103 (4x- 1 y)2+y(x- x ) 216105. M 3xy=- 1 xn+1+ 1 求 M 918106. (ax3+bx2+cx) (-x)107. (x+3y)(x-3y)-(3x-y)2+(4x-3y)(5x+2y)-xy 108. (12x4y6-8x2y4-16x3y5)4x2y3109

11、4( x2+y) (x2-y)-(2x2-y)2110.(x+ 1 y)2+(x- 1 y)2(2x2- 1 y2)222111.(x-i)2-(x-1)(x+1)+3(x+1) 0112. x(x+1)2-x(x2-3)-2(x+1)(x-1)=201132x2-(x+y)(x-y)(-x-y)(-x+y)+2y2114. (3x-2y+1)(3x-2y-1)115(x-y)2(x+y)2116. ( a4x2+233332 22a x - ax) (- a x )2n=4,2m=3，则23m-2n=117 (-0.4anbn)2(- 5 an+1b2)2( 1 anb)2 118。2421

12、19(1 ) 0+( - 1 ) 0+221)-2-2-2120。59.860.2+1992121x+ 1 =2, 则，xx2+ 1 =x122。-1999) 2002(1 ) 20031999123.4x 9填空125127.129131124.(xn-1)2(x2)n- 1 y4=(- 2 x+ y2)(1634a+b=7, ab=-2 则的值(x2-2x-3)(x-1)(x+3)715(-3175)100 (1552)99 (-1)101(12x4y6-8x2y4-16x3y5) 4x2y3128.130.132.126. 若，4x2+pxy3+y6 则 p=16(x+2y-3z+4t)

13、(x-2y-3z-4t)( n3-7mn2+ n5)33(2a-b)2-b(b-4a)+6a2 n234a134. (15axn+2-9a2x2n+6a3x3n) (-3axn)133 ( 3 a4b7- 1 a3b8+ 1 a2b6) (- 1 ab2)24293(-0.5x3y2)136. (12x4y6-8x2y4-16x3y5)4x2y3135. (0.25x3y2- 1 x4y5- 1 x5y3)26147.(x-2y+3z)2148.(3x+2) 2-(3x-2)2+(3x+2)2(3x-2) 2137 (-a5x3- a3x5-0.3a2x4)250.6ax31138. (-5

14、xy)2x3-2x2(5xy) 3 2 y (-5x2y) 2( 4 anbn-1)23140. (x+y)3-2(x+y)2-4(x+y) (-x-y)139(- 1 anbn_1)+( 3 an+1bn+1)232141 ( m+1 ) 2-5(m+1)(m-i) +3(m-1)2142。 ( x2+3x) (x-3)-x(x-2) 2+(-x-y)(y-x)143 2x2-(x+y)(x-y)(-x-y)(-x+y)+2y2144.231012-99223145. (12+32+992)- (22+42+1002)146.5xy2(x2-3xy)+(3x2y2)3 (5xy)291492

15、2 (n+1)0-(- 32)5(23)-41150.2081991519(a-b)2+12(a2-b2)+4(a+b)2=256 则 ,5a-b 的值152若a+b+c=0, 则，a2-b2+c2+2ac=1530.001x=1,(-3)y=,-,则， x-y=27154x2+mx+n 是一个完平方式，m,n 的关系155x-(k+2)+49 是完全平方式，则156( 3x+2) (3x-2)(9x2-4)157(2x+3y-6z)2-(3x-3y+6z)2158. 2(3x-1)2+(3x+1)2(9x2-1)161. (a+b)(a-b)+(a+b)2-2(2a-b)2159 求代数式4

16、x-8y-x2-2y2+9 的最大值，并求x, y 的值 160. 1.23352+0.76652+2.4670.7665162. (-3x)2-(2x+1(3x-2)-3(x+2)(x-2)=0163(a- 1 )2-(a+ 1 )2(a+3) 22164.(x+z)(x2-2xz+z2)(x-2)(x2+2xz+z2)1655(42+1)(44+1)(48+1)(416+1)165.302-292+282-272+。 。 。 +22-12167 -3 1 ( y-x) 3(-x-y)-2(x-y)-1(x+y)22168 .(25x3+15x2-20x) (-5x)169(0.25a2b-

17、 1 a3b2- 1 a4b3) (-0.5a2b)26170. ( y3-7y2 + y) y53317124n+1-(42n+16n)172、 1234567892-123456788123456790173 . 若整数 x,y,z满足( 9) x (10)y ( 16)z则x,y, z,是多少8915174. (-p)8(-p2) 3(- p)32=(3x+1)(x-1)-(x+3)(5 x-6)=x2-10x+m 则 m=175. 求证N=5232n+12n-3n6n+2能被13 整除176。若(2apbp+q) =8a9b15则 p=q=177 . -10(a+b)4(a-b)25(

18、a+b)3(a-b)178. (2x-3y+4)(-2x-3y-4)179. (2x-y)13(2 x-y)32(y-2x)23180. (3 10n)4181. x2+(y-x)(y+x)182. 103 97（利用公式计算）183 ( n+2b) 2-4b2184. (x+1)(x-1)(x2+1)186. (2a2)33a34a-1185 (a+b)(a-b)-(a+2b)2-(a-2b)2187 (a2-4ab+4b2) (a-2b)-(4a2-9b2) (2a+3b)188. 1022(利用公式)189 已知4x2-3y2=7,3x2+2y2=19 求代数式14x2-2y2的值190. a(a-b)-(-2a)2+ab191 已知(a-2b) 2=(a+2b)2+m，则，m=(y-x)192. 54( y-x) 3- 13 (x-y)8 76326193 .(2a+b)2-(2a-b)(a+b)-2(a-2b)(a+2b)194.已知a2+b2-2a+6b+10=0 求