(ab-1)²+(a+b-2)(a+b-2ab)
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(ab-1)²+(a+b-2)(a+b-2ab)
(ab-1)²+(a+b-2)(a+b-2ab)
(ab-1)²+(a+b-2)(a+b-2ab)
令x=ab,y=a+b
原式=(x-1)²+(y-2)(y-2x)
=x²-2x+1+y²-2y-2xy+4x
=x²+2x+1+y²-2y-2xy
=(x+1)²-2y(x+1)+y²
=(x+1-y)²
=(ab-a-b+1)²
=[a(b-1)-(b-1)]²
=(a-1)²(b-1)²