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2. Polynomials
medium
અવયવ પાડો : $8 x^{3}+y^{3}+27 z^{3}-18 x y z$
Option A
Option B
Option C
Option D
Solution
$8 x^{3}+y^{3}+27 z^{3}-18 x y z$
$=(2 x)^{3}+y^{3}+(3 z)^{3}-3(2 x)(y)(3 z)$
$=(2 x+y+3 z)\left[(2 x)^{2}+y^{2}+(3 z)^{2}-(2 x)(y)-(y)(3 z)-(2 x)(3 z)\right]$
$=(2 x+y+3 z)\left(4 x^{2}+y^{2}+9 z^{2}-2 x y-3 y z-6 x z\right)$
Standard 9
Mathematics
