a, \(m^2-n^2=\left(m-n\right)\left(m+n\right)\)
b, \(4m^2-16n^2=\left(2m-4n\right)\left(2m+4n\right)=4\left(m-2n\right)\left(m+2n\right)\)
c, \(49-16x^2=\left(7-4x\right)\left(7+4x\right)\)
d, \(25-9y^2=\left(5-3y\right)\left(5+3y\right)\)
e, \(81x^2-16y^2=\left(9x-4y\right)\left(9x+4y\right)\)