Question

How do you simplify `(6y)/(y^2+y-72) div y^6/(8-y)`?

Answer 1

`- 6 / ( y^5 ( y + 9 ) )`

Explanation:

`( 6y ) / ( y^2 + y - 72 ) -: y^6 / ( 8 - y )`
`( 6y ) / ( ( y + 9 ) ( y - 8 ) ) ( 8 - y ) / y^6`
`- ( 6 cancel(y) ) / ( ( y + 9 ) cancel( ( y - 8 ) ) ) ( cancel( ( y - 8 ) ) ) / y^(cancel(6) 5)`
`- 6 / ( y^5 ( y + 9 ) )`