Question

Divide: 8xy2 - 14y2 2y

Answer 1

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 $y(4x-7)$.

Answer 2

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