Respuesta :
The product of (2x+y) and (5x-y+3) is (10x²+3xy+6x-y²+3y).
What are polynomial?
Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
The product of the two given polynomial (2x+y) and (5x-y+3), can be written as,
[tex](2x+y) (5x-y+3)\\\\= 10x^2-2xy+6x+5xy-y^2+3y\\\\=10x^2-2xy+5xy+6x-y^2+3y\\\\=10x^2+3xy+6x-y^2+3y[/tex]
Hence, the product of (2x+y) and (5x-y+3) is (10x²+3xy+6x-y²+3y).
Learn more about Polynomial:
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