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

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2. Polynomials

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

Option A

Option B

Option C

Option D

Solution

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

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

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

Standard 9

Mathematics

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