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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)\right.$$-(y)(-3 z)-(-3 z)(2 x)\}$
$=(2 x+y-3 z)\left(4 x^{2}+y^{2}+9 z^{2}-2 x y+3 y z+6 z x\right)$
Standard 9
Mathematics
