a^2b^2-b^2+(a^2-1)=b^2(a^2-1)+(a^2-1) = (a^2-1)(b^2+1)= (a-1)(a+1)(b^2+1)
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a^2b^2-b^2+(a^2-1)=b^2(a^2-1)+(a^2-1) = (a^2-1)(b^2+1)= (a-1)(a+1)(b^2+1)