Respuesta :
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]
Answer:
The correct answer is 10x² + 3xy + 6x - y² + 3y
Step-by-step explanation:
It is given an expression (2x + y)(5x - y + 3)
To find the product
(2x + y)(5x - y + 3) = 2x * 5x - 2x*y + 2x*3 + y*5x -y² + 3y
= 10x² - 2xy + 6x + 5xy - y² + 3y
= 10x² + 3xy + 6x - y² + 3y
Therefore the correct answer is
10x² + 3xy + 6x - y² + 3y