Factorise the following:
x - 1 - (x - 1)2 + ax - a.
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x - 1 - (x - 1)2 + ax - a
= (x - 1) - (x - 1)2 + a(x - 1)
= (x - 1)[1 - (x - 1) + a]
= (x - 1)(1 - x + 1 + a)
= (x - 1)(a - x + 2).
Hence, x - 1 - (x - 1)2 + ax - a = (x - 1)(a - x + 2).
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a2b + ab2 - abc - b2c + axy + bxy.
ax2 - bx2 + ay2 - by2 + az2 - bz2.
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9x2 - 1