Factorise of following : 8 a^{3}-b^{3}-12 a^{2} b+6 a b^{2}

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2. Polynomials

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Factorise of the following : $8 a^{3}-b^{3}-12 a^{2} b+6 a b^{2}$

Option A

Option B

Option C

Option D

Solution

$8 a^{3}-b^{3}-12 a^{2} b+6 a b^{2}=(2 a)^{3}-(b)^{3}-3(2 a)(b)(2 a-b)$

$=(2 a-b)^{3}$ [Using Identity $VII$]

$=(2 a-b)(2 a-b)(2 a-b)$

Standard 9

Mathematics

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