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2. Polynomials
medium
અવયવ પાડો : $4 x^{2}+y^{2}+z^{2}-4 x y-2 y z+4 x z$.
Option A
Option B
Option C
Option D
Solution
$4 x^{2}+y^{2}+z^{2}-4 x y-2 y z+4 x z=(2 x)^{2}+(-y)^{2}+(z)^{2}+2(2 x)(-y)$$+2(-y)(z)+2(2 x)(z)$
$=[2 x+(-y)+z]^{2}$ (નિત્યસમ $V$ નો ઉપયોગ કરતાં)
$=(2 x-y+z)^{2}=(2 x-y+z)(2 x-y+z)$
Standard 9
Mathematics