9a²-b²+2b-1
=9a²-(b²-2b+1)
=9a²-(b-1)²
=(3a+2b-1)(3a-b+1)
(x²-2x)²-1
=(x²-2x+1)(x²-2x-1)
=(x-1)²(x²-2x-1)
2ab-a²-b²+c²
=c²-(a²-2ab+b²)
=c²-(a-b)²
=(c+a-b)(c-a+b)
6a(a+b)(a-b)-3a(a+b)²
=3a(a+b)[2(a-b)-(a+b)]
=3a(a+b)(a-3b)
9a²-b²+2b-1
=9a²-(b²-2b+1)
=9a²-(b-1)²
=(3a+2b-1)(3a-b+1)
(x²-2x)²-1
=(x²-2x+1)(x²-2x-1)
=(x-1)²(x²-2x-1)
2ab-a²-b²+c²
=c²-(a²-2ab+b²)
=c²-(a-b)²
=(c+a-b)(c-a+b)
6a(a+b)(a-b)-3a(a+b)²
=3a(a+b)[2(a-b)-(a+b)]
=3a(a+b)(a-3b)