Simplify the following fraction: ((x+2)^2+3(x+2)^2)/(x^2-4)

Question

Simplify the following fraction:
`((x+2)^2+3(x+2)^2)/(x^2-4)`

Answer 1

The answer is
`(4(x+2))/(x-2)`. Reason is becasue you simplify it, making it
`(4(x+2))/(x-2)`. How do we get this? Add similar elements of the numerator equation (the numerator on your question), making it
`(4(x+2))/(x^2-2)`. Then x^2 - 4 would be the step, "apply difference of two squares formula," giving us (x+2)(x-2). Now we cancel the common factor, which is x + 2, giving us the answer that I gave you in the first sentence,
`(4(x+2))/(x-2)`.

Hope this helped!

Nate