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Question
Factorize each of the following expression:
256x5 − 81x
Solution
\[256 x^5 - 81x\]
\[ = x(256 x^4 - 81)\]
\[ = x[(16 x^2 )^2 - 9^2 ]\]
\[ = x(16 x^2 + 9)(16 x^2 - 9)\]
\[ = x(16 x^2 + 9)[(4x )^2 - 3^2 ]\]
\[ = x(16 x^2 + 9)(4x + 3)(4x - 3)\]
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