Factorise the following:
x2 - x(a + 2b) + 2ab
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= x2 - xa - 2bx + 2ab
= x(x - a) - 2b(x - a)
= (x - a)(x - 2b).
Hence, x2 - x(a + 2b) + 2ab = (x - a)(x - 2b).
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2a - 4b - xa + 2bx
5ph - 10qk + 2rph - 4qrk
ab(x2 + y2) - xy(a2 + b2)
(ax + by)2 + (bx - ay)2.