Factorise of the following :  $27-125 a^{3}-135 a+225 a^{2}$

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$27-125 a^{3}-135 a+225 a^{2}=(3)^{3}-(5 a)^{3}-3(3)(5 a)[3-5 a]$

                                               $=(3-5 a)^{3}$                       [Using Identity $VII$]

                                                $=(3-5 a)(3-5 a)(3-5 a)$

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