Is 1/4(8y -12) equivalent to 2y - 12?
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.
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.
1/4(8y -12)
2y - 12
1/4(8y -12) equivalent to \(\dfrac{1}{4}(8y-12) eq (2y - 12)\)
\(\dfrac{1}{4}(8y-12)\\\)
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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