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

Correct option: second one -> n / (n+1)

Step-by-step explanation:

Writting the expression, we have:

[4n / (4n-4)] * [(n-1) / (n+1)]

First we can simplify the numerator of the first part, dividing numerator and denominator by 4:

[n / (n-1)] * [(n-1) / (n+1)]

The first fraction has n-1 in the denominator and the second fraction has n-1 in the numerator, so we can simplify then in the product:

n* [1 / (n+1)] = n / (n+1)

The final expression is n / (n+1), so the correct option is the second one.

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: