What is the completely factored form of xy3 – x3y?
xy(y + x)(y – x)
xy(y – x)(y – x)
x y (x minus y) (x squared + x y + y squared)
x y (x minus y) (y squared + x y + x squared)

Respuesta :

Answer:

[tex]xy(y+x)(y-x)[/tex]

Step-by-step explanation:

Given expression:

[tex]xy^3-x^3y[/tex]

Factor out the common term [tex]xy[/tex]:

[tex]\implies xy(y^2-x^2)[/tex]

Apply the Difference of Two Squares formula   [tex]a^2-b^2=(a+b)(a-b)[/tex]:

[tex]\implies xy(y+x)(y-x)[/tex]

Answer:

A

Step-by-step explanation: