Answer:
[tex]xy(y+x)(y-x)[/tex]
Step-by-step explanation:
To factor the expression, remove the greatest common factor or GCF from each term. Both terms share in common xy. The expression becomes:
[tex]xy^3-x^3y\\xy(y^2-x^2)[/tex]
What remains in the parenthesis is a different of perfect squares. Factor the difference of perfect squares into two binomials of the form (x+a)(x-a) where a is the square root of [tex](x^2-a^2)[/tex].
So the expression becomes:
[tex]xy(y^2-x^2)\\xy(y+x)(y-x)[/tex]
