What is _ n a^n+b^n a^n-b^n where a b 1 , equal to?

Step-by-step solution

aligned & _ x a^n+b^n a^n-b^n & _ x a^n [1+ ( b a )^n ] a^n [1- ( b a )^n ] & a b 1 & a b a b 1 aligned aligned & a b a b 1 & = _ x [1+ ( b a )^n ] [1- ( b a )^n ] = 1+0 1-0 & _ x a^n+b^n a^n-b^n =1 aligned