Question

Is 1/4(8y -12) equivalent to 2y - 12?

Answer 1

Is 1/4(8y -12) equivalent to 2y - 12?

No. 1/4(8y-12) equals out to 2y-3 not 2y-12.

Answer 2

They are not equal.

Expression

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations that are formed according to rules which is dependent on the context.  

Given equations

1/4(8y -12)

2y - 12

To find

1/4(8y -12) equivalent to $\dfrac{1}{4}(8y-12)\neq (2y - 12)$

Solution

$\dfrac{1}{4}(8y-12)$

multiplying $\dfrac{1}{4}$ inside the brackets,

$=(\dfrac{1}{4}\times 8y)-(\dfrac{1}{4}\times 12)$

$=(2y)-(3)$

$=2y-3$

Therefore, $\dfrac{1}{4}(8y-12)\neq (2y-12)$

Hence, they are not equal.

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