Verified Answer :

carlosego

For this case we have the following expression:
 \((8xy^2 - 14y^2)/2y\)
 Rewriting the expression we have:

 \((4xy ^ 2 - 7y ^ 2) / y\)
 Then, for power properties we have:

 \((4xy ^ {(2-1)} - 7y ^ {(2-1)})\)
 Rewriting the expression we have:

 \((4xy ^ {(1)} - 7y ^ {(1)})\)
 \(4xy - 7y\)
 Answer:

 The equivalent expression is given by:

 4xy - 7y

Answer:

\(y(4x-7)\)  

Step-by-step explanation:

We have been given an expression \(8xy^2-14y^2\) and we are asked to divide our given expression by \(2y\).

Upon writing our given problem as a division problem we will get,

\(\frac{8xy^2-14y^2}{2y}\)

Upon factoring out the greatest factor of the terms from numerator we will get,

\(\frac{2y^2(4x-7)}{2y}\)  

\(y(4x-7)\)  

\(y(4x-7)\)    

Therefore, the quotient of our given problem is \(y(4x-7)\).

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