Question

Which expression is equivalent to the given expression? −(12y+14) A:−14(1+2y) B:14(2y−1) C:−2(14y−18) D:2(18−14y)

Answer 1

- 1/4 ( 1 + 2y) was the answer i got

Answer 2

Answer:

The expression $-(\frac{1y}{2}+\frac{1}{4} )$ is equivalent to the expression  $\frac{-1}{4}+\frac{-1y}{2}$ .

Option (A) is correct .

Step-by-step explanation:

As given the expression in the question be as follow .

$= -(\frac{1y}{2}+\frac{1}{4} )$

it is also written as

$= -\frac{1y}{2}-\frac{1}{4}$

Now take

$= \frac{-1}{4}(1+2y)$

Simplify the expression

$= \frac{-1}{4}+2y\times \frac{-1}{4}$

$= \frac{-1}{4}+\frac{-2y}{4}$

$= \frac{-1}{4}+\frac{-1y}{2}$

Therefore the expression $-(\frac{1y}{2}+\frac{1}{4} )$ is equivalent to the expression $\frac{-1}{4}+\frac{-1y}{2}$ .

Option (A) is correct .