Homework Help

How do you simplify this: 2x/3 * x^3/6x-9 / x^2/9? The little arrow (^) means the...

user profile pic

rosey-girl | Student, Grade 12 | Valedictorian

Posted August 19, 2013 at 11:47 PM via web

dislike 1 like

How do you simplify this: 2x/3 * x^3/6x-9 / x^2/9?

The little arrow (^) means the square root.

1 Answer | Add Yours

user profile pic

baxthum8 | High School Teacher | (Level 3) Associate Educator

Posted August 19, 2013 at 11:57 PM (Answer #1)

dislike 1 like

`((2x)/3)* (x^3/(6x - 9))-: (x^2/9)`

factor 6x - 9 to 3(2x - 3); multiply by the reciprocal of `x^2/9`

` ` `((2x)/3)* (x^3/(3(2x-3)))*(9/x^2)`

` `cancel the 2 three's with the 9; cancel x^2 with x^3 leaving an x:

you'll now have:

`(2x)* (x/(2x-3))`

multiply through gives you:

`(2x^2)/(2x - 3)`

` `  

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes