Question

Which expression is equivalent to the given expression?

-(1/2y+1/4)

-1/4(1+22y)
1/4(2y-1)
-2(1/4y-1/8
2(1/8-1/4y)

Answer 1

`-(1)/(4)(1 + 2y )`

Explanation:

Given

`-((1)/(2)y + (1)/(4))`

Required

Select equivalent expression

Write each term as a product of 1/4

`-(2 * (1)/(4)y + 1 * (1)/(4))`

Factorize:

`-(1)/(4)(2 * y + 1 * 1)`

`-(1)/(4)(2y + 1)`

Apply commutative property:

`-(1)/(4)(1 + 2y )`

Hence, option (a) is correct.