56.0k views
1 vote
What is the product of 2x + y and 5x – y + 3? x2 + xy + x + y2 + y

2 Answers

4 votes

Answer:

10 3 6 -1 3

Explanation:

User Andrea Bisello
by
6.0k points
6 votes

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

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

User WestFarmer
by
4.9k points