Question

plz give me the answer in a pic​

Answer 1

Answer:

LHS

(x+y)^-1 = 1/(x+y)

=1/(-1/3 + 2/3)

=1/(-1+2)/3

=1×3/(-1+2)

=3/1

=3

now RHS

x^-1 + y^-1= 1/x + 1/y

=1/(-1/3) + 1/(2/3)

=1×3/(-1) + 1×3/2

= -3 +3/2

= ( -6+3)/2 (taking LCM)

= -3/2

LHS =3 , RHS =-3/2

therefor LHS not equal to RHS proved