Factorise the following:
2x4 - 32
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Taking out common in all terms,
2(x4 - 16) = 2[(x2)2 - 42].
Using identity,
a2 - b2 = (a - b)(a + b).
2[(x2)2 - 42] = 2(x2 - 4)(x2 + 4)
= 2(x - 2)(x + 2)(x2 + 4).
Hence, 2x4 - 32 = 2(x - 2)(x + 2)(x2 + 4).
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a4 - b4 + 2b2 - 1
x3 - 25x
a2(b + c) - (b + c)3
(a + b)3 - a - b