Answer:
The product of the given expression is [tex]15r^2-14r-8[/tex]
Step-by-step explanation:
The given expression is [tex](5r+2)(3r-4)[/tex]
In order to find the product we use FOIL method where F stands for first, O stands for outer, I stands for inner and L stands for last.
We do the operation according to this rule.
[tex](5r+2)(3r-4)\\5r\cdot3r+5r(-4)+2(3r)+2(-4)[/tex]
Multiply the terms, we get
[tex]15r^2-20r+6r-8[/tex]
Combine the like terms
[tex]15r^2-14r-8[/tex]
Therefore, the product of the given expression is [tex]15r^2-14r-8[/tex]
