Question

Factor out the greatest common factor (GCF)
15^{2n}+9^{n+1}-3^{n}

Answer 1

Hope this helps, sorry if it doesn't..

http://www.wolframalpha.com/input/?i=15^%282n%29+%2B+9^%28n%2B1%29+-3^n

Answer 2

you have to decompose 15, 9 and 3 as a product of prime factors
and then assemble them
for example \[15^{2n}=3^{2n}*5^{2n}\]

Answer 3

\[3^{2n}*5^{2n}+3^{n+1}*3^{n+1}-3^{n}\]
but \[3^{n+1}=3*3^{n}\]
and \[3^{2n}=3^{2}*3^{n}\]
so u can put \[3^{n}\] as (GCF)
the solution is \[3^{n}*(3^{2}*5^{2n}+3*3^{n+1}-1)\]