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