Answer :

[tex]3\cdot(2y-5)=3\cdot2y-3\cdot5=6y-15[/tex]

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