初一分解因式(急!在线等,会追加悬赏)

来源:百度知道 编辑:UC知道 时间:2024/06/16 11:33:11
x^2+x-6
x^2-x-3/4
x^3m-y^3n
x^5-x^3-x^2+1
a-b-ab+1
a^2-b^2-2b-1
还有两题:
7x^2+xy-6y^2-21x+18y
ab(c^2+d^2)+cd(a^2+b^2)
谢谢各位朋友

x^2+x-6 =(X-2)(X+3)

x^2-x-3/4 =(X+1/2)(X-3/2)

x^3m-y^3n =(X^M)立-(Y^N)立=(X^M-Y^N)(X^2M+X^MY^N+Y^2N)

x^5-x^3-x^2+1 =X方(X立-1)-(X立-1)=(X方-1)(X立-1)
=(X+1)(X-1)(X-1)(X方+X+1)
=(X+1)(X方+X+1)(X-1)方

a-b-ab+1 =(A+1)(-B+1)=(1+A)(1-B)

a^2-b^2-2b-1=A方-(B+1)方)=(A+B+1)(A-B-1)

7x^2+xy-6y^2-21x+18y
=(7X-6Y)(X+Y)-3(7X-6Y)
=(7X-6Y)(X+Y-3)

ab(c^2+d^2)+cd(a^2+b^2)
=ABC方+ABD方+A方CD+B方CD
=AC(BC+AD)+BD(AD+BC)
=(AC+BD)(BC+AD)

(x-2)(x+3)
(x+1/2)(x-3/2)
(x^m-y^n)^3
(x^3-1)(x^2-1)=(x-1)^2(x^2+x+1)(x+1)
(a+1)(1-b)
(a+b+1)(a-b-1)

------------------------------------------
(x+y-3)(7x-6y)
(ac+bd)(bc+ad)

1.x^2+x-6 =(x-2)(x+3)
2.x^2-x-3/4 =(x+1/2)(x-3/2)
3.x^3m-y^3n =(x^m-y^n)(x^2m+x^my^n+y^2n)
4.x^5-x^3-x^2+1 =(x-1)^2(x^2+x+1)(x+1)
5.a-b-ab+1 =(a+1)(1-b)
6.a^2-b^2-2b-1=(a+b+1)(a-b-1)
7. 7x^2+xy-6y^2-21x+18y =(7x-6y