大话召唤兽技能:几道初一的整式运算题目,会做的来~!!!

来源:百度文库 编辑:高校问答 时间:2024/04/30 07:07:49
1.(a-b)^m(a-b)[2(b-a)]^3[(b-a)^5]^2/(a-b)^m
2.(2006^2+2004^2+```+2^2)-(2005^2+2003^2+```+1)
3.先化简,后求值.
(1)x(x+4)(x-4)-(x+3)(x^2-6x+9)+5x^3y^2/(x^2y^2),其中x=-3.
(2)y(x+y)+(x+y)(x-y)-x^2,其中x=-2,y=1/2.
望会做的各位写解答过程,谢谢了!!!!
x^2就表明是2的2次方

1.(a-b)^m(a-b)[2(b-a)]^3[(b-a)^5]^2/(a-b)^m
=(a-b)[2(b-a)]^3[(b-a)^5]^2
=(a-b)*8(b-a)^3*(b-a)^10
=-(a-b)*8(a-b)^3*(a-b)^10
=-8(a-b)^14

2.(2006^2+2004^2+```+2^2)-(2005^2+2003^2+```+1)
=2006^2-2005^2+2004^2-2003^2+```+2^2-1
=(2006+2005)(2006-2005)+(2004+2003)(2004-2003)+```+(2+1)(2-1)
=2006+2005+2004+2003+```+2+1
=(2006+1)*2006/2
=2013021

3.先化简,后求值.
(1)x(x+4)(x-4)-(x+3)(x^2-6x+9)+5x^3y^2/(x^2y^2)
=x(x^2-16)-(x^3-3x^2-9x+27)+5x
=x^3-16x-x^3+3x^2+9x-27+5x
=3x^2-2x-27
=3*9+2*3-27
=6

(2)y(x+y)+(x+y)(x-y)-x^2
=xy+y^2+x^2-y^2-x^2
=xy
=-2*1/2
=-1

x^你这个是什么意

【1】原式=-8*(a-b)^14
【2】原式=2006^2-2005^2+2004^2-2003^2+...+2^2-1
=(2006+2005)*(2006-2005)+(2004+2003)*(2004-2003)+...+(2+1)*(2-1)
=2006+2005+2004+...+4+3=1/2*(2006+3)*(2006-3+1)
= 2013018
【3.1】原式=-2*x+3*x^2-27
x=3时,原式=-6
【3.2】原式=y*x
x=-2,y=1/2,时,原式=-1