Answer :
we are given
[tex]x^2y-2xy-24y=y(x^2-2x-24)[/tex]
now, we can factor out right side term
[tex]x^2-2x-24=x^2-6x+4x-6*4[/tex]
[tex]x^2-2x-24=(x-6)(x+4)[/tex]
now, we can plug back
and we get
so,
[tex]x^2y-2xy-24y=y(x-6)(x+4)[/tex].............Answer