Question

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

Answer 1

Answer:

Option A  $-2(n-3)$

Step-by-step 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

$-2n+6\neq2n-12$

case B is not equivalent to the given expression

case C) $2n-6$

we have that

$-2n+6\neq2n-6$

therefore

case C is not equivalent to the given expression

case D) $2n+6$

we have that

$-2n+6\neq2n+6$

therefore

case D is not equivalent to the given expression

Answer 2

-2(2n-6) 

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