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2. Polynomials
easy
અવયવ પાડો
$27 x^{3}-64-108 x^{2}+144 x$
Option A
Option B
Option C
Option D
Solution
$27 x^{3}-64-108 x^{2}+144 x$
$=(3 x)^{3}+(-4)^{3}+3\left(9 x^{2}\right)(-4)+3(3 x)(16)$
$=(3 x)^{3}+(-4)^{3}+3(3 x)^{2}(-4)+3(3 x)(-4)^{2}$
$=\{3 x+(-4)\}^{3}$
$=(3 x-4)(3 x-4)(3 x-4)$
Standard 9
Mathematics