Question

What is the product of 2x + y and 5x – y + 3? x2 + xy + x + y2 + y

Answer 1

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

Answer 2

Answer: $10x^2+3xy+6x-y^2+3y$

Step-by-step explanation:

You need to remember the Product of powers property:

$(a^m)(a^n)=a^{(m+n)}$

Then, knowing this property, now you have to apply the Distributive property. So:

$(2x+y)(5x-y+3)=\\\\=(2x)(5x)-(2x)(y)+(2x)(3)+(y)(5x)-(y)(y)+(y)(3)\\\\=10x^2-2xy+6x+5xy-y^2+3y$

Finally, to simplify this expression, you need to add the like terms.

Therefore, you get that the product is:

$=10x^2+3xy+6x-y^2+3y$