Question

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

A. 5r-7s
B. 6rs + 10r
C. 2r (3s-5)
D. 6rs-10r

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* 3s-2r* 5\\\\=6rs-10r.`

Thus, the required equivalent expression is
`6rs-10r.`

Option (D) is CORRECT.