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Verified Answer :

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

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


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 \(\dfrac{1}{4}(8y-12) eq (2y - 12)\)

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, \(\dfrac{1}{4}(8y-12) eq (2y-12)\)

Hence, they are not equal.

Learn more about expressions:

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