What is that product of 2x + y and 5x - y + 3

The correct answer is:

10 x^2 + 3 xy + 6 x + - 1 y^2 + 3 y

10x² + 6x + 3xy + 3y - y²

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor, as shown

(2x + y) (5x - y + 3)

= 2x (5x - y + 3) + y (5x - y + 3) ← distributing

= 10x² - 2xy + 6x + 5xy - y² + 3y (collect like terms)

= 10x² + 6x + 3xy + 3y - y²