Question

How do you solve `\frac { y ^ { 2} - 4} { y - 2} \div \frac { y + 2} { 3y - 6}`?

Answer 1

`3y - 6`

Explanation:

`(y^2 - 4)/(y - 2) div (y + 2)/(3y - 6)`

When performing division involving fractions, get the reciprocal of the divisor. Then, change the operation to multiplication

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

`=> ((y - 2)(y + 2))/(y - 2) * (3y - 6)/(y + 2)`

`=> 3y - 6`