Question

((n+1)/(n^2+4n+4) - (n-1)/(n^2-4)):2n/((n+2)^2) , заранее спасибо :D

Answer 1

У меня получилось -1/(n-2)

Answer 2

Simplifying the Expression

To simplify the expression ((n+1)/(n^2+4n+4)) - ((n-1)/(n^2-4))/2n/((n+2)^2), we can follow these steps:

Step 1: Simplify the individual fractions in the expression.

The first fraction, (n+1)/(n^2+4n+4), can be simplified as follows:

(n+1)/(n^2+4n+4) = (n+1)/(n+2)^2

The second fraction, (n-1)/(n^2-4), can be simplified as follows:

(n-1)/(n^2-4) = (n-1)/((n+2)(n-2))

Step 2: Substitute the simplified fractions back into the expression.

((n+1)/(n+2)^2) - ((n-1)/((n+2)(n-2)))/(2n/((n+2)^2))

Step 3: Simplify further if possible.

To simplify further, we can multiply the numerator and denominator of the second fraction by (n+2)^2:

((n+1)/(n+2)^2) - ((n-1)(n+2)^2/((n+2)(n-2)(n+2)^2))/(2n/((n+2)^2))

Simplifying the expression further is not possible without knowing the value of n. If you have a specific value for n, please provide it so that we can continue simplifying the expression.