Let’s resolve into factors:
ax2 + (a2-1)x-a
ax2 + (a2-1)x-a
=ax2 + a2x-x-a
=ax(x + a)-1(x + a)
=(ax-1)(x + a)
∴ the factors of ax2 + (a2-1)x-a are (ax-1)(x + a)
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