Factorise by grouping method :
a4 - 2a3 - 4a + 8.
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Given,
a4 - 2a3 - 4a + 8
= a4 - 4a - 2a3 + 8
= a(a3 - 4) - 2(a3 - 4)
= (a - 2)(a3 - 4).
Hence, a4 - 2a3 - 4a + 8 = (a - 2)(a3 - 4).
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Factorise by taking out the common factors :
2x(a - b) + 3y(5a - 5b) + 4z(2b - 2a)
16(a + b)2 - 4a - 4b
ab(x2 + 1) + x(a2 + b2).
(ax + by)2 + (bx - ay)2