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$\left(x+3\right)\left(x-3\right)$ কে $x^2-6$ দিয়ে ভাগ করলে ভাগশেষ কত হবে?

Options :

  • (A) $-3$
  • (B) $-6$
  • (C) $6$
  • (D) $3$

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মনে করি,

$x^2-6=0$ [যেখানে, $\left(x^2-6\right)$ একটি সাধারণ গুণিতক]

বা, $x^2=6$

$\therefore x=\sqrt6$

এখন,

$\left(x+3\right)\left(x-3\right)$

= $x^2-3^2$

= $x^2-9$

= $\left(\sqrt6\right)-9$

= $6-9$

= $-3$

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