Homework Help

What is `(24 x^3 y^2 + 12 x^3 y^4 - 18 x^4 y^3)/ (6xy^2)`

user profile pic

spock12 | Student, Undergraduate | (Level 2) eNoter

Posted April 19, 2012 at 4:28 PM via web

dislike 1 like

What is `(24 x^3 y^2 + 12 x^3 y^4 - 18 x^4 y^3)/ (6xy^2)`

2 Answers | Add Yours

user profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted April 19, 2012 at 4:46 PM (Answer #1)

dislike 1 like

The expression `(24x^3y^2+12x^3y^4-18x^4y^3)/(6xy^2)` has to be evaluated.

`(24x^3y^2+12x^3y^4-18x^4y^3)/(6xy^2)`

=> `(6xy^2(4x^2+2x^2y^2-3x^3y))/(6xy^2)`

=> `4x^2+2x^2y^2-3x^3y`

The required result is 4x^2+2x^2y^2-3x^3y

user profile pic

Wiggin42 | Student, Grade 11 | (Level 2) Valedictorian

Posted May 11, 2014 at 11:56 PM (Answer #2)

dislike 0 like

I'm assuming you just want this simplified. 

Start by canceling out the number 6 since its in all the coefficients. Divide each term by 6. 

`(4x^3y^2 + 2x^3y^4 - 3x^4y^3)/(xy^2)`

Now we can cancel out the variable x since its in all the terms. When dividing exponents, just subtract. 

`(4x^2y^2 + 2x^2y^4 - 3x^3y^3)/(y^2)`

``Now we can do the same thing with `y^2`

`4x^2 + 2x^2y^2 - 3x^3y`

``

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes