Question

6.07 which expressions are equivalent to 3(x + 3y + 2x - y

Answer 1

`3(3x +2y)` and
`9x +6y` are equivalent to
`3(x + 3y + 2x - y)`

Explanation:

Given

`3(x + 3y + 2x - y)`

Required

Possible Equivalents

To start with; we need to simplify the expression in the bracket;

`3(x + 3y + 2x - y)`

Collect like terms

`3(x + 2x + 3y - y)`

`3(3x +2y)`

At this point; we can conclude that
`3(3x +2y)` is equivalent to
`3(x + 3y + 2x - y)`

Solving further, by expanding the bracket

`3(3x +2y)`

`3*3x +3*2y`

`9x +6y`

At this point; we can also conclude that
`9x +6y` is equivalent to
`3(x + 3y + 2x - y)`

Hence,

`3(3x +2y)` and
`9x +6y` are equivalent to
`3(x + 3y + 2x - y)`