因式分解：解方程 4x²=（3x-1）²

因式分解：解方程 4x²=（3x-1）²
因式分解
1.a²-b²-4a-4b
2.m²-4mn+4n²-4
3.4-x²-2xy-y²
4.ax²-ay²+a²x-a²y
5.a³+2a²b+ab²-a

4x²-(3x-1)²=0
(2x+3x-1)(2x-3x+1)=0
(5x-1)(-x+1)=0
x=1/5 x=1
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-(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(a^2+2ab+b^2)-a
=a(a+b)^2-a
=a[(a+b)^2-1]
=a(a+b+1)(a+b-1)

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