Question

Which expression is equivalent to 2r(3s-5)?. .

Answer 1

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.