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a4-b4+2b2-1 factorise

a4-b4+2b2-1
=a4-(b4-2b2+1)
=a4-(b4-b2-b2+1)
=a4-[b2(b2-1)-1(b2-1)]
=a4-(b2-1)(b2-1)
=(a2)2-(b2-1)2
=(a2+b2-1)(a2-b2+1)
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a4-b4+2b2-1
=a4-(b4-2b2+1)
=a4-(b4-b2-b2+1)
=a4-[b2(b2-1)-1(b2-1)]
=a4-(b2-1)(b2-1)
=(a2)2-(b2-1)2
=(a2+b2-1)(a2-b2+1)
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(A^2+b^2-1)(a2-b2+1)
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