3^{2n - 1} - 1
= \frac{3^{2n}}{3} - 1
= (\frac{3^n}{\sqrt{3}})^2 - 1
= (\frac{3^n}{\sqrt{3}} + 1)(\frac{3^n}{\sqrt{3}} - 1)
Although i think you typed the LHS wrong.. so..
3^{2n} - 1
= (3^n)^2 - 1 $, Can you see the two squares? Using indice laws, i can take out the squared like that to...