Question

Divide: 8xy2 - 14y2
2y

Answer 1

`y(4x-7)`

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,

`(8xy^2-14y^2)/(2y)`

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

`(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