Question

Which expression is the simplest form -(4x+y)+2(x-3y)

Answer 1

- 2x - 7y

Explanation:

Given

- (4x + y) + 2(x - 3y)

Distribute both parenthesis, noting that the first is distributed by - 1

= - 4x - y + 2x - 6y ← collect like terms

= (- 4x + 2x) + (- y - 6y )

= - 2x + (- 7y) = - 2x - 7y

Answer 2

-2x-7y

Explanation:

We have the expression -(4x+y)+2(x-3y) and we have to simplify it:

Observation: -(4x+y)=(-1)(4x+y)

We have to use distributive property this is:
`a(x+y)=ax+ay`

Then,

`(-1)(4x+y)+2(x-3y)=\\(-1).4x+(-1).y+(2).x+(2).(-3y)=\\=-4x-y+2x-6y`

Ordering:

`-4x-y+2x-6y=\\-4x+2x-y-6y=\\=-2x-7y`

Then the simplest form of -(4x+y)+2(x-3y) is -2x-7y