Factorise following: 1-64 a^{3}-12 a+48 a^{2}

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2. Polynomials

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Factorise the following:

$1-64 a^{3}-12 a+48 a^{2}$

Option A

Option B

Option C

Option D

Solution

$1-64 a^{3}-12 a+48 a^{2}=(1)^{3}-(4 a)^{3}-3(1)(4 a)(1-4 a)$

$=(1-4 a)^{3}\left[\because a^{3}-b^{3}-3 a b(a-b)=(a-b)^{3}\right]$

$=(1-4 a)(1-4 a)(1-4 a)$

Standard 9

Mathematics

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