Question

simplify 1/1+x-^m+1/1+x^m​

Answer 1

1 / [ 1 + x ^ ( m - n ) ] + 1 / [ 1 + x ^ ( n - n ) ]

1 / [ 1 +( x^m / x^n )] + 1 / [ 1 + ( x^n / x^m )]

Taking L.C.M of 1 and x^n ; 1 and x^m.

1 / ( x^n + x^n )/ x^n + 1 / ( x^m + x^n )/x^m

x^n / ( x^n + x^m ) + x^m / ( x^n + x^m )

( x^n + x^m )/( x^n + x^m )

= 1