Factorise the following:
x3 - 25x
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Taking out common in all terms,
x(x2 - 25) = x(x2 - 52).
Using identity,
a2 - b2 = (a - b)(a + b).
x(x2 - 52) = x(x - 5)(x + 5).
Hence, x3 - 25x = x(x - 5)(x + 5).
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x3 - 5x2 - x + 5
a4 - b4 + 2b2 - 1
2x4 - 32
a2(b + c) - (b + c)3