Completely factor x3y100xy3 Show work please Compltely Facto

Completely factor x^3y-100xy^3. Show work please.

Compltely Factor

Show work please

s^3 - st^2 - s^2t + t^3

Solution

a) (x^3)y -100xy*3

=xy(x^2 =100y^2)

=xy((x)^2 -(10y)^2)

=xy(x+10y)(x-10y)

b)s^3 -st^2 -s^2t +t^3

=s^3 +t^3 -st(t+s)

=s^3 +t^3 +3st(t+s) -3st(t+s) -st(t+s)

=(s+t)^3 -4st(t+s)

=(s+t)((s+t)^2 -4st)

Thank you