分解因式(1)a²b²-a²-b²+1(2)x²+ax²+x+ax-1-a(3)x²+4xy+4y²-4x-8y+4
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分解因式(1)a²b²-a²-b²+1(2)x²+ax²+x+ax-1-a(3)x²+4xy+4y²-4x-8y+4
分解因式(1)a²b²-a²-b²+1(2)x²+ax²+x+ax-1-a
(3)x²+4xy+4y²-4x-8y+4
分解因式(1)a²b²-a²-b²+1(2)x²+ax²+x+ax-1-a(3)x²+4xy+4y²-4x-8y+4
解1a²b²-a²-b²+1
=a²(b²-1)-(b²-1)
=(b²-1)(a²-1)
=(a+1)(a-1)(b+1)(b-1)
2x²+ax²+x+ax-1-a
=(a+1)x²+(a+1)x-(a+1)
=(a+1)(x²+x-1)
=(a+1)(x-(-1+√5)/2)(x+(-1-√5)/2)
x²+4xy+4y²-4x-8y+4
=(x+2y)²-4(x+2y)+4
=(x+2y-2)²