Question

3×9^n+1+9×3^2n-1/9×3^2n-6×9^n+1

Answer 1

Answer:

Step-by-step explanation:

Hi ,

( 3ⁿ × 9^n+1 )/( 3^n-1 × 9^n-1 )

= [ 3ⁿ × ( 3² )^n + 1 ]/[3^n-1×( 3² )^n-1 ]

= [ 3ⁿ × 3^2n+2 ]/[ 3^n-1× 3^2n-2 ]

= [ 3^n+2n+2 ]/[ 3^n-1+2n-2 ]

= [ 3^3n+ 2 ]/[ 3^3n-3 ]

= 3^3n+2-3n+3

= 3^5

= 243

I hope this helps you.

: )