Question

How do I expand this?    3(2y-5)

Answer 1

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

Answer 2

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