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