因式分解 1,a²-2a-b²+2b= 2,m²-4n²+4n-1= 3,x²-4y²+x-2y=

因式分解 1,a²-2a-b²+2b= 2,m²-4n²+4n-1= 3,x²-4y²+x-2y=
因式分解 1,a²-2a-b²+2b= 2,m²-4n²+4n-1= 3,x²-4y²+x-2y=

因式分解 1,a²-2a-b²+2b= 2,m²-4n²+4n-1= 3,x²-4y²+x-2y=
a²-2a-b²+2b
=(a+b)(a-b)-2(a-b)
=(a+b-2)(a-b)
m²-4n²+4n-1
=m²-(2n-1)²
=(m+2n-1)(m-2n+1)
x²-4y²+x-2y
=(x+2y)(x-2y)+x-2y
=(x+2y+1)(x-2y)
如果本题有什么不明白可以追问,

1, a²-2a-b²+2b
=(a²-b²)-2(a-b)
=(a+b)(a-b)-2(a-b)
=(a-b)(a+b-2)
2， m²-4n²+4n-1
=m²-(2n-1)²
=(m+2n-1)(m-2n+1)
3, x²-4y²+x-2y
=(x+2y)(x-2y)+(x-2y)
=(x-2y)(x+2y+1)

你好，很高兴回答你的问题

1, a²-2a-b²+2b
=a^2-b^2-(2a-2b)
=(a+b)(a-b)-2(a-b)
=(a-b)(a+b-2)

2， m²-4n²+4n-1
=m^2-(4n^2-4n+1)
=m^2-(2n-1)^2
=(m+2n-1)(m-2n+1)

3, x²-4y²+x-2y
=(x+2y)(x-2y)+x-2y
=(x+2y+1)(x-2y)