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1. $x^{2} + 4 y^{2} + 8 x - 16 y + 16$

Answer: Option A

Explanation:

x^{2} + 4 y^{2} + 8 x - 16 y + 16 = x^{2} + {(- 2)}^{2} + 4^{2} + 2 x (- 2 y) + 2 . (- 2 y) . 4 + 2 . x . 4 + 4 x y = {(x - 2 y + 4)}^{2} + 4 x y ∴ প্রদত্ত রাশির সাথে -4xy জগ করলে রাশিটি পূর্ণ বর্গ হবে ।

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