Respuesta :

Answer:

(x-y) (a+x-y)

Step-by-step explanation:

(y-x)=-(x-y)

-a(y-x) = a(x-y)

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

(x-y)(a + x - y)

[tex](x-y) (x-y+a)[/tex]  is the required product of the given polynomial [tex](x-y)^2-a(y-x)\\[/tex].

Given expression,

[tex](x-y)^2-a(y-x)[/tex]

We have to write the above expression as a product of two polynomials.

So,

[tex](x-y)^2-a(y-x)[/tex]

Taking - common from the second term,

[tex](x-y)^{2} +a(x-y)[/tex]

Now taking [tex](x-y)[/tex] common from both the terms,

[tex](x-y) (x-y+a)[/tex].

Hence [tex](x-y) (x-y+a)[/tex] is the required product of the given polynomial [tex](x-y)^2-a(y-x)\\[/tex].

For more details follow the link:

https://brainly.com/question/16078564

Q&A Education