a2-b2-c2-2bc-2a+1

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a2-b2-c2-2bc-2a+1

a2-b2-c2-2bc-2a+1
a2-b2-c2-2bc-2a+1

a2-b2-c2-2bc-2a+1
a2-b2-c2-2bc-2a+1
=(a2-2a+1)-(b2+c2+2bc)
=(a-1)²-(b+c)²
=(a-1+b+c)(a-1-b-c)

a2-b2-c2-2bc-2a+1
=A^2-2A+1-(B^2+2BC+C^2)
=(A-1)^2-(B+C)^2
=(A+B+C-1)(A-B-C-1)