यदि `((x^1)/( x^(-m ) ) )^(l^(2) + m^(2) + lm) xx ((x^m)/( x^(-n) ) )^(m^2 + n^2 - nm) xx ((x^n)/( x^(-1) ) )^(n^(2) + l^(2) - nl) = x^(2k)` तो k का मान होगा

Options

A. `l^(3) - m^(2) - n^(3)`
B. `l^(3) + m^(3) - n^(3)`
C. `l^(3) + m^(3) + n^(3)+m^(2) l+l^(2) m-mn^(2) -n^(2) m-nl^(2) -ln^(2)`
D. `l^(3) - m^(3) + n^(3)`

Answer

C