Step-by-step explanation:
Let the given polynomial:
P(x) = x(y–5)–y(5–y)
To find, the product of two polynomials = ?
∴ P(x) = x(y–5)–y(5–y)
= xy - 5x - 5y + [tex]y^2[/tex]
= [tex]y^2[/tex] - 5y + xy - 6x
∴ The product of two polynomials = [tex]y^2[/tex] - 5y + xy - 6x
Thus, the product of two polynomials = [tex]y^2[/tex] - 5y + xy - 6x
