几条初二因式分解!!!!!!!!!急啊!!!!!!!!!!!

(a+2b)^2-2(a+2b)+1 =（a+2b）^2,把（a+2b）看做整体就行了

9(x+2y)^2-4(2x-y)^2 =[3(x+2y)]^2-[2(2x-y)]^2=[3(x+2y)+2(2x-y)]*[3(x+2y)+2(2x-y)]=(5x+2y)(x+10y)

(x-y)^2+4xy =x^2+y^2-2xy+4xy=x^2+y^2+2xy=(x+y)^2

a^2(2a-b)+b^2(b-2a)=a^2(2a-b)-b^2(2a-b)=(2a-b)(a^2-b^2)=(a-b)(a+b)(2a-b)

(a+2b)^2-2(a+2b)+1 =(a+2b-1)^2

(a+2b)^2-2(a+2b)+1
直接用完全平方
=(a+2b-1)^2

9(x+2y)^2-4(2x-y)^2
=[3(x+2y)]^2-[2(2x-y)]^2
=(3x+6y)^2-(4x-2y)^2
=[(3x+6y)+(4x-2y)][(3x+6y)-(4x-2y)]
=(7x+4y)(8y-x)

(x-y)^2+4xy
=x^2-2xy+y^2+4xy
=x^2+2xy+y^2
=(x+y)^2

(a+2b)^2-2(a+2b)+1
=(a+2b-1)^2

9(x+2y)^2-4(2x-y)^2
=[3(x+2y)+2(2x-y)][3(x+2y)-2(2x-y)]
=(7x+4y)(-x+8y)
=(7x+4y)(8y-x)

(x-y)^2+4xy
=x^2-2xy+y^2+4xy
=x^2+2xy+y^2
=(x+y)^2

(a+2b)^2-2(a+2b)+1
=(a+2b+1)^2
9(x+2y)^2-4(2x-y)^2
=[3(x+2y)]^2-[2(2x-y)]^2
=(3x+6y+4x-2y)(3x+6y-4x+2y)
=(7x+4y)(8y