64a^5-27b³-144a²b-108ab²
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I think Your question has a small mistake.
It is 64a³-27b³-144a²b-108ab². not a^5.
64a³-27b³-144a²b-108ab².
(4a)³-(3b)³-3(4a-3b)(4a-3b).
It is in the form of a³-b³-3ab(a-b)=(a-b)³.
a=4a. b=3b.
(4a)³-(3b)³-3(4a)(3b)(4a-3b)=(4a-3b)³.
I think this is your answer.
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