Mathematics
Factorise the following:
32x4 - 500x
Factorisation
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Answer
32x4 - 500x = 4x(8x3 - 125) = 4x[(2x)3 - 53]
We know that,
a3 - b3 = (a - b)(a2 + ab + b2)
4x[(2x)3 - 53] = 4x(2x - 5)[(2x)2 + 2x.5 + (5)2]
= 4x(2x - 5)(4x2 + 10x + 25).
Hence, 32x4 - 500x = 4x(2x - 5)(4x2 + 10x + 25).
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