Question

(1/(а-1)+1/(а+1))*(а+1)/а

Answer 1

((a+1+a-1)/(a^2-1))*(a+1)/a

2a/(a^2-1)*(a+1)/a

(2*a*(a+1))/((a-1)*(a+1)*a)

2/(a-1)

Answer 2

Let's simplify the given expression step by step:

(1/(a-1) + 1/(a+1)) * (a+1)/a

Step 1: Combine the fractions with a common denominator, which is (a-1)(a+1):

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

Step 2: Simplify the expression inside the square brackets:

[2a] * (a+1)/a

Step 3: Cancel out the common factor "a" in the numerator and denominator:

2(a+1)

So, the simplified expression is 2(a+1).