Question

How do you simplify `\frac { 16y ^ { 3} + 12y ^ { 2} - 4y } { 4y }`?

Answer 1

`=4y^2 +3y -1`

Explanation:

`(16y^3+12y^2 -4y)/(4y)`

Factorise the numerator by taking out the common factor `4y`

`(4y(4y^2 +3y-1))/(4y)`

Cancel the like factors

`(cancel(4y)(4y^2 +3y-1))/cancel(4y)`

`=4y^2 +3y -1`