Question

are these equivalent? explain.
(x^2-4)/(x-2) and x+2

Answer 1

Yes, if you simplify \(\dfrac{x^2-4}{x-2}\) you will get \(x + 2\).

Answer 2

Also, if you graph them, they will be on the same line.

Answer 3

thank you, but how would i explain that on paper?

Answer 4

Just say that simplifying \(\dfrac{x^2-4}{x-2}\) will give you \(x+2\), which means they are equivalent. And if you graph them both, they will be on the same line, which means they are equivalent.