m^2-4mn+3n^2= We need to decompose factors by formula method

m^2-4mn+3n^2= We need to decompose factors by formula method


m^2-4mn+3n^2
=m^2-4mn+4n^2-n^2
=(m-2n)^2-n^2
=[(m-2n)+n][(m-2n)-n]
=(m-n)(m-3n)



Square of M - square of 4Mn + 3N
Formula required


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



M (3N-M) square - 3N (3N-M) square + m-3n


m(3n-m)^2-3n(3n-m)^2+m-3n
=m(m-3n)^2-3n(m-3n)^2+(m-3n)
=(m-3n)^2(m-3n)+(m-3n)
=(m-3n)[(m-3n)^2+1]