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2. Polynomials
easy
અવયવ પાડો
$8 x^{3}+27 y^{3}+36 x^{2} y+54 x y^{2}$
Option A
Option B
Option C
Option D
Solution
$8 x^{3}+27 y^{3}+36 x^{2} y+54 x y^{2}$
$=(2 x)^{3}+(3 y)^{3}+3\left(4 x^{2}\right)(3 y)+3(2 x)\left(9 y^{2}\right)$
$=(2 x)^{3}+(3 y)^{3}+3(2 x)^{2}(3 y)+3(2 x)(3 y)^{2}$
$=(2 x+3 y)^{3}$
$=(2 x+3 y)(2 x+3 y)(2 x+3 y)$
Standard 9
Mathematics
