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Question
Factorize each of the following expression:
2a5 − 32a
Solution
\[2 a^5 - 32a\]
\[ = 2a( a^4 - 16)\]
\[ = 2a[( a^2 )^2 - 4^2 ]\]
\[ = 2a( a^2 + 4)( a^2 - 4)\]
\[ = 2a( a^2 + 4)( a^2 - 2^2 )\]
\[ = 2a( a^2 + 4)(a + 2)(a - 2)\]
\[ = 2a(a - 2)(a + 2)( a^2 + 4)\]
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