Question

Which expression is equivalent to the given expression?

Answer 1

Answer:

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

Step-by-step explanation:

Given

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

Required

Select equivalent expression

Write each term as a product of 1/4

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

Factorize:

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

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

Apply commutative property:

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

Hence, option (a) is correct.