因式分解练习（最好简单的写一下过程）2(x-1)^2-x+1-a^4+2a^2b^2-b^4(x+2y)^2-4(x-3y)^29(2x-y)^2-6(2x-y)+1(m^2-6m)^2+18(m^2-6m+81)-12a(a-b)^3+6a^2(b-a)^3
因式分解练习（最好简单的写一下过程）
2(x-1)^2-x+1
-a^4+2a^2b^2-b^4
(x+2y)^2-4(x-3y)^2
9(2x-y)^2-6(2x-y)+1
(m^2-6m)^2+18(m^2-6m+81)
-12a(a-b)^3+6a^2(b-a)^3
2(x-1)^2-x+1=(x-1)(2x-2-1)
-a^4+2a^2b^2-b^4=-(a^2-b^2)^2
(x+2y)^2-4(x-3y)^2=(x+2y+2x-6y)(x+2y-2x+6y)=(3x-4y)(8y-x)
9(2x-y)^2-6(2x-y)+1=[3(2x-y)-1]^2
(m^2-6m)^2+18(m^2-6m)+81=(m^2-6m+9)^2=(m-3)^4
-12a(a-b)^3+6a^2(b-a)^3=6a(b-a)^3(a+2)
1) 2(x-1)^2-x+1=2(x^2-2x+1)-x+1=2x^2-5x+3=(2x-3)*(x-1)
2) -a^4+2a^2b^2-b^4=-(a^2-b^2)^2
3) (x+2y)^2-4(x-3y)^2=x^2+4xy+4y^2-4(x^2-6xy+9y^2)=-3x^2+28xy-32y^2=(-3x+4y)(x-8y)
4) 9(2x-y)^2-6(2x-y)+1=9(4x^2-4xy+y^2)-12x+6y+1=36x^2-36xy-12x+6y+1+9y^2
2(x－1)²－x＋1＝2(x－1)²－(x－1)＝(x－1)[2(x－1)－1]＝(x－1)(2x－2－1)＝(x－1)(2x－3)－a⁴＋2a²b²－b⁴＝－(a⁴－2a²b²＋b⁴)＝－(a²－b²)²...