Answer:
Therefore, the product of 2x+y and 5x-y+3 is 10x^2 + 13x - y^2 + 4xy + 6.
Explanation:
Using FOIL (first, outer, inner, last) method, we can multiply the two expressions:
(2x+y)(5x-y+3) = 10x^2 - 2xy + 15x + 3y + 5xy - y^2 + 6x - 3y
Simplifying the terms by combining like terms and rearranging, we get:
10x^2 + 13x - y^2 + 4xy + 6