Factorise 27a³+1/64b³+27a²/4b+9a/16b²
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(3a) ^3 +(1/4b)^3 +27a^2/4b +9a/16b^2
by identity (a+b)^ = a^3 +b^3 +3a^2b +3ab^2
then the answer will be
(3a+1/4b)^3
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