Answer:The product of terms 2x + y and 5x – y + 3 is:[tex] 10x^2 + 3xy +6x -y^2 +3y[/tex]Step-by-step explanation:We need to multiply the two terms[tex](2x + y) ( 5x - y + 3)\\=2x (5x - y + 3) + y( 5x - y + 3)\\=10x^2 -2xy +6x +5xy -y^2 +3y\\checking\,\, for \,\, the \,\, like \,\, terms\,\, (\,\,having\,\, same\,\, variables\,\,)\\=10x^2 -2xy +5xy +6x -y^2+3y\\=10x^2 + 3xy +6x -y^2 +3y[/tex]The product of terms 2x + y and 5x – y + 3 is:[tex] 10x^2 + 3xy +6x -y^2 +3y[/tex]