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243)n5 × 32n + 1 9n × 3n − 1 = ?

A. 1

B. 2

C. 9

D. 3n

Correct Answer : C.


Given Expression=(243)n5 × 32n + 1 9n × 3n - 1
= (35)n5 x 32n + 1(32)n x 3n - 1 
= (35 ×n5 × 32n + 1) (32n × 3n - 1)
= 3n × 32n + 1 32n x 3n - 1
= 3(n + 2n + 1)3(2n + n - 1) 
=  33n + 1 33n - 1 
= 3(3n + 1 - 3n + 1) = 32 = 9. 

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