Answer:
![10x^2+3xy+6x-y^2+3y](https://img.qammunity.org/2020/formulas/mathematics/middle-school/mxvi34gs6i2i598lx75vfz4i1x4ic1wzpo.png)
Explanation:
You need to remember the Product of powers property:
![(a^m)(a^n)=a^((m+n))](https://img.qammunity.org/2020/formulas/mathematics/middle-school/dq85haazi4mfq0uz6k0f50r5ielqa8p35c.png)
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](https://img.qammunity.org/2020/formulas/mathematics/middle-school/deiqsw2n6dn1w9sc3gt66yqy0ih59emfv3.png)
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](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qjkwinsiqadvv3jwdh1uz0mbaemqnq3seh.png)