Question

What is the product of 2x + y and 5x – y + 3?

Answer 1

Answer:

The product of terms 2x + y and 5x – y + 3 is:$10x^2 + 3xy +6x -y^2 +3y$

Step-by-step explanation:

We need to multiply the two terms

$(2x + y) ( 5x - y + 3)\\=2x (5x - y + 3) + y( 5x - y + 3)\\=10x^2 -2xy +6x +5xy -y^2 +3y\\checking\,\, for \,\, the \,\, like \,\, terms\,\, (\,\,having\,\, same\,\, variables\,\,)\\=10x^2 -2xy +5xy +6x -y^2+3y\\=10x^2 + 3xy +6x -y^2 +3y$

The product of terms 2x + y and 5x – y + 3 is:$10x^2 + 3xy +6x -y^2 +3y$

Answer 2

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