Let’s resolve into factors:
ax2-(a2-2)x-2a
ax2-(a2-2)x-2a
=ax2-a2x + 2x-2a
=ax(x-a) + 2(x-a)
=(ax + 2)(x-a)
∴ the factors of ax2-(a2-2)x-2a are (ax + 2)(x-a)
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