因式分解：解方程 4x²=（3x-1）²因式分解1.a²-b²-4a-4b2.m²-4mn+4n²-43.4-x²-2xy-y²4.ax²-ay²+a²x-a²y5.a³+2a²b+ab²-a

4x²=（3x-1）²
4x²-(3x-1)²=0
(2x-3x+1)(2x+3x-1)=0
(-x+1)(5x-1)=0
-x+1=0 5x-1=0
∴x=1或x=1/5
1.a²-b²-4a-4b=(a-b)(a+b)-4(a+b)=(a+b)(a-b-4)
2.m²-4mn+4n²-4=(m-2n)²-4=(m-2n-2)(m-2n+2)
3.4-x²-2xy-y²=4-(x+y)²=(2-x-y)(2+x+y)
4.ax²-ay²+a²x-a²y=a(x²-y²)+a²(x-y)=a(x-y)(x+y)+a²(x-y)=a(x-y)(x+y+a)
5.a³+2a²b+ab²-a=a(a²+2ab+b²)-a=a[(a+b)²-1]=a(a+b-1)(a+b+1)

4x²-(3x-1)²=0(2x+3x-1)(2x-3x+1)=0(5x-1)(-x+1)=0x=1/5 x=11.a²-b²-4a-4b=(a+b)(a-b)-4(a+b)=(a+b)(a-b-4)2.m²-4mn+4n²-4=(m-2n)^2-4=(m-2n+2)(m-2n-2)3.4-x²-2xy-y²=4-(x...