Question

show that

(2m/3+3n/2)^2-2mn=4m^2/9+9n^2/4​

Answer 1

Step-by-step explanation:

4m^2/9+9n^2/4+2*2m/3*3n/2-2mn

=4m^2/9+9n^2/4-2mn+6mn/3

=4m^2/9+9n^2/4+(-6mn+6mn/3)

=4m^2/9+9n^2/4

so left hand side=right hand side