Verified Answer :

\(3\cdot(2y-5)=3\cdot2y-3\cdot5=6y-15\)

Answer:

Given the expression \(3 (2y-5)\)                   ......[1]

Distributive property of multiplication states that when a number is multiplied by the sum of two numbers, then the  first number can be distributed to both of those numbers and multiplied by each of them separately. i.e,

\(a \cdot (b+c) =a\cdot b +a \cdot c\)

then, by using distributive property in equation [1]

\(3(2y-5) = 3 \cdot 2y - 3\cdot 5\)

                  = \(6y-15\)

Therefore, the expanded form of 3(2y-5) is; 6y-15