Answer: the correct option is
(D) [tex]6rs-10r.[/tex]
Step-by-step explanation: We are given to select the expression that is equivalent to the following expression :
[tex]E=2r(3s-5)~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We will be using the following distributive property :
[tex]a(b-c)=ab-ac.[/tex]
So, from (i), we get
[tex]E\\\\=2r(3s-5)\\\\=2r\times 3s-2r\times 5\\\\=6rs-10r.[/tex]
Thus, the required equivalent expression is [tex]6rs-10r.[/tex]
Option (D) is CORRECT.
