{(3^n+2)-(3^n+1)}/{(3^n+4)+(3^n+1)}
please explain the answer for a 5 star review
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Answer:
Step-by-step explanation:
ust let y=3^n
∴given expression
=(3^n)+(3^1×3^n)/{((3^n)+(3^n/3)}
=(y+3y)/{y+(y/3)}
=(1+3)/(1+(1/3))
=4/{(4/3)}
= 3 ♬ ♬♬
CHECK:【if n=1→(3+9)/(3+1)=12/4=3】
RE-CHECK:【 if n=2→(9+27)/(9+3)=36/12=3】
TRIPLE-CHECK:【if n=0→(1+3)/(1+1/3)=4÷(4/3)=4×(3/4)=3】
EXTRA-CHECK:【if n=3→(27+81)/(27+9)=108/36=3】
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