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