Answer :
Answer: [tex]10x^2+3xy+6x-y^2+3y[/tex]
Step-by-step explanation:
You need to remember the Product of powers property:
[tex](a^m)(a^n)=a^{(m+n)}[/tex]
Then, knowing this property, now you have to apply the Distributive property. So:
[tex](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[/tex]
Finally, to simplify this expression, you need to add the like terms.
Therefore, you get that the product is:
[tex]=10x^2+3xy+6x-y^2+3y[/tex]
The product of (2x + y) and (5x – y + 3) is [tex]\rm 10x^2+3xy -y^2+3y +6x[/tex] and this can be determined by using the arithmetic operations.
Given :
Linear equations -- (2x + y) and (5x - y + 3)
The following steps can be used to evaluate the product of the given linear equation:
Step 1 - Write the expression of the product of the given two linear equations.
= (2x - y)(5x - y + 3)
Step 2 - Multiply 2x by (5x - y + 3) in the above equation.
[tex]\rm = 10x^2-2xy+6x+y(5x-y+3)[/tex]
Step 3 - Multiply y by (5x - y) in the above equation.
[tex]\rm = 10x^2-2xy+6x+5xy-y^2+3y[/tex]
Step 4 - Simplify the above equation.
[tex]\rm = 10x^2+3xy -y^2+3y +6x[/tex]
So, the product of (2x + y) and (5x – y + 3) is [tex]\rm 10x^2+3xy -y^2+3y +6x[/tex].
For more information, refer to the link given below:
https://brainly.com/question/22687297