Factorise x^{2}+4 y^{2}+9 z^{2}-4 x y-12 y z+6 z x

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2. Polynomials

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Factorise

$x^{2}+4 y^{2}+9 z^{2}-4 x y-12 y z+6 z x$

Option A

Option B

Option C

Option D

Solution

$x^{2}+4 y^{2}+9 z^{2}-4 x y-12 y z+6 z x$

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

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

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

Standard 9

Mathematics

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