初二的因式分解.要详细一点类.好的一定追加1.4x^2-4x^2y-y^32.3x^3-18x^2+27x3.(a-b)^2-12(a-b)c+36c^24.(x+y)^2-4(x+y-1)5.(x+1)(x+2)+1/4.

问题描述:

初二的因式分解.要详细一点类.好的一定追加
1.4x^2-4x^2y-y^3
2.3x^3-18x^2+27x
3.(a-b)^2-12(a-b)c+36c^2
4.(x+y)^2-4(x+y-1)
5.(x+1)(x+2)+1/4.

一题是否有问题
2.3x^3-18x^2+27x
=3x(x^2-6x+9)
=3x(x-3)^2
3.(a-b)^2-12(a-b)c+36c^2
=(a-b-6c)^2
4.(x+y)^2-4(x+y-1)
=(x+y)^2-4(x+y)+4
=(x+y-2)^2
5.(x+1)(x+2)+1/4
=x^2+3x+9/4
=(x+3/2)^2

(1)原式=-y(4x^2-4xy+y^2)=-y(2x-y)^2
(2)=3x(x^2-6x+9)=3x(x-3)^2
(3),把a-b看做一个整体设为A(为了让你理解)原式=A^2-12Ac+36C^2=(A-6c)^2
=(a-b-6c)^2
(4)把(x+y-1)的-1分出来原式=(x+y)^2-4(x+y)+4,和上题一样,X+Y看作整体,原式=(x+y-2)^2
(5)设x+1.5=A,原式=(A-0.5)(A+0.5)+0.25=A^2-0.25+0.25=A^2,代入,原式=(x+0.5)^2
都是练整体带入的
里面用的完全平方公式LZ应该没问题把
我有做法,LZ选我把

1.4x^2-4x^2y-y^3应该是4xy^2-4x^2y-y^3=-y(4x^2-4xy+y^2)=-y(2x-y)^22.3x^3-18x^2+27x=3x(x^2-6x+9)=3x(x-3)^23.(a-b)^2-12(a-b)c+36c^2=[(a-b)-6c]^2=(a-b-6c)^24.(x+y)^2-4(x+y-1)=(x+y)^2-4(x+y)+4=[(x+y)-2]^2...

1.原式=-y(4x^2-4xy+y^2)=-y(2x-y)^2
2.原式=3x(x^2-6x+9)=3x(x-3)^2
3.原式=(a-b)^2-12(a-b)c+(6c)^2=(a-b-6c)^2
4.原式=.(x+y)^2-4(x+y)+2^2=(x+y-2)^2
5.原式= x^2+3x+2+1/4=x^2+3x+9/4=(x+3/2)^2