Factorise the following:
ab(x2 + y2) - xy(a2 + b2)
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= abx2 + aby2 - xya2 - xyb2
= abx2 - xyb2 - xya2 + aby2
= bx(ax - by) - ay(ax - by)
= (bx - ay)(ax - by).
Hence, ab(x2 + y2) - xy(a2 + b2) = (bx - ay)(ax - by).
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5ph - 10qk + 2rph - 4qrk
x2 - x(a + 2b) + 2ab
(ax + by)2 + (bx - ay)2.
a3 + ab(1 - 2a) - 2b2.