2².3²ⁿ⁺²-9ⁿ⁺¹ এর সরল মান কোনটি ?

A 2.3²ⁿ⁺¹

B -53²ⁿ⁺¹

C 9ⁿ⁺²

D 3²ⁿ⁺³

Solution

Correct Answer: Option D

2².3²ⁿ⁺²-9ⁿ⁺¹
=4.3²ⁿ.3² -9ⁿ
=36.3²ⁿ-9(3²)ⁿ
=36.3²ⁿ -9.3²ⁿ
=27.3²ⁿ
=3³.3²ⁿ
=3²ⁿ⁺³

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