Factorise : 4 x^{2}+9 y^{2}+16 z^{2}+12 x y-24 y z-16 x z

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2. Polynomials

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Factorise : $4 x^{2}+9 y^{2}+16 z^{2}+12 x y-24 y z-16 x z$

Option A

Option B

Option C

Option D

Solution

$ 4 x ^{2}+9 y ^{2}+16 z ^{2} +12 xy -24 yz -16 xz$

$=(2 x )^{2}+(3 y )^{2}+(-4 z )^{2}+2(2 x )(3 y )+2(3 y )(-4 z )+2(-4 z )(2 x ) $ [Using Identity $V $]

$=(2 x +3 y -4 z )^{2} $

$=(2 x +3 y -4 z )(2 x +3 y -4 z ) $

Standard 9

Mathematics

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