Factorise the following:
a2b + ab2 - abc - b2c + axy + bxy.
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a2b + ab2 - abc - b2c + axy + bxy
= ab(a + b) - bc(a + b) + xy(a + b)
= (a + b)(ab - bc + xy).
Hence, a2b + ab2 - abc - b2c + axy + bxy = (a + b)(ab - bc + xy).
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a3 + ab(1 - 2a) - 2b2.
3x2y - 3xy + 12x - 12.
ax2 - bx2 + ay2 - by2 + az2 - bz2.
x - 1 - (x - 1)2 + ax - a.