SOLUTION: b/b-1 + 2b/b^2-1 simplify

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Question 71283This question is from textbook Algebra
: b/b-1 + 2b/b^2-1 simplify This question is from textbook Algebra

Answer by sudhir(14) About Me  (Show Source):
You can put this solution on YOUR website!
You wrote " b/b-1 + 2b/b^2-1 simplify" but sorry to say this is a lousy way to write an expression as it has changed the meaning . Instead should have been
written as :- " b/(b-1) + 2b/(b^2-1) simplify".
Now,
b/(b-1) + 2b/(b^2-1)
= b(b+1)/((b-1)(b+1)) + 2b/(b^2-1) as (b-1)(b+1)=b^2-1 so you can say that i have made the denominators of the two terms equal.
= b(b+1)/((b-1)(b+1)) + 2b/((b-1)(b+1))
= (b^2 + b + 2b)/((b-1)(b+1))
= (b^2 + 3b)/((b-1)(b+1))
= b(b+3)/((b-1)(b+1)) Answer.
cheers!