Question

How do you multiply and simplify `\frac { 4x - 2} { x - 2} \cdot \frac { 4x + 2} { 16x ^ { 2} - 4}`?

Answer 1

`1/(x-2)`

Explanation:

`((4x-2))/((x-2))*((4x+2))/((16x^2-4))`

`((4x-2)(4x+2))/((x-2)(16x^2-4))`

`((4x-2)(4x+2))/((x-2)(4x-2)(4x+2))`

`(cancel((4x-2))cancel((4x+2)))/((x-2)cancel((4x-2))cancel((4x+2)))=1/(x-2)`