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

Answer:

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.

Answer 2

The product of the expression, 4n/(4n - 4) × (n - 1)/(n + 1), is: n/(n + 1).

What is the Product of Polynomials?

Product is the multiplication of two factors in the simplest form.

Thus:

4n/(4n - 4) × (n - 1)/(n + 1)

[4(n)/4(n - 1)] × [(n - 1)/(n + 1)]

Simplify

n/(n-1) × (n-1)/(n+1)

n/(n + 1)

Therefore, the product of the expression, 4n/(4n - 4) × (n - 1)/(n + 1), is: n/(n + 1).

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