Question

Which expression is equivalent to the given expression? −(2n−6)

A)−2(n−3)
B)2(n−6)
C)2n−6
D) 2n + 6

Answer 1

-2(2n-6)

it has to be A) -2(n-3) because its a -

Answer 2

Option A
`-2(n-3)`

Explanation:

we have

`-(2n-6)`

Eliminate the parenthesis

`-(2n-6)=-2n+6`

Verify each case

case A)
`-2(n-3)`

`-2(n-3)=-2n+6`

therefore

`-2n+6=-2n+6` -----> is true

case A is equivalent to the given expression

case B)
`2(n-6)`

`2(n-6)=2n-12`

therefore

`-2n+6\\eq2n-12`

case B is not equivalent to the given expression

case C)
`2n-6`

we have that

`-2n+6\\eq2n-6`

therefore

case C is not equivalent to the given expression

case D)
`2n+6`

we have that

`-2n+6\\eq2n+6`

therefore

case D is not equivalent to the given expression