Workout the following divisions :` 54mnl (l+m) (m + n) (u +l) ÷ (81 mn ( l+ m)(n+l))`

Carry out the following divisions : - 54l^4 m^3n^2 by 9l^2m^2n^2

Carry out the following divisions -152l^(4)m^(3)n^(2) by 19l^(2) m^(2)n^(2)

Factorise the following : l^2 - (m-n)^2 .

Factorise the following expression : l^4+ 4l^2m^2 + 4m^4 .

Factorise the following expression - l^(4) + 6l^(2)m^(2) + 9m^(4)

Is l |\| m ?

Explain giving reasons , which of the following sets of quantum numbers are not possible . a) n=0,l=0,m_(l)=0,m_(s)=+(1)/(2) b) n=1,l=0,m_(l)=0,m_(s)=-(1)/(2) c) n=1,l=1,m_(l)=0,m_(s)=+(1)/(2) d) n=2,l=1,m_(l)=0,m_(s)=+(1)/(2) e) n=3,l=3,m_(l)=-3,m_(s)=+(1)/(2) f) n=3,l=1,m_(l)=0,m_(s)=+(1)/(2)

Write any four linear equations using l, m, n, p.