Question

What is the product?

StartFraction 4 n Over 4 n minus 4 EndFraction times StartFraction n minus 1 Over n + 1 EndFraction
StartFraction 4 n Over n + 1 EndFraction
StartFraction n Over n + 1 EndFraction
StartFraction 1 Over n + 1 EndFraction
StartFraction 4 Over n + 1 EndFraction

Answer 1

Simplify:

(4n)/(4n−4) * (n−1)/(n+1) = (4n)/(4(n−1)) * (n−1)/(n+1) = n/(n−1) * (n−1)/(n+1) = n/(n+1).

So the product is n/(n+1) (for n ≠ 1, −1).