Answer:
Given the expression [tex]3 (2y-5)[/tex] ......[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,
[tex]a \cdot (b+c) =a\cdot b +a \cdot c[/tex]
then, by using distributive property in equation [1]
[tex]3(2y-5) = 3 \cdot 2y - 3\cdot 5[/tex]
= [tex]6y-15[/tex]
Therefore, the expanded form of 3(2y-5) is; 6y-15