Simplify the expression.

Question

7/n-3 + n/n + 3=?

Answer 1

7/(n-3) +n/(n+3)

Try to find Least Common Denominator which is (n-3) and (n+3) and Multiply (n+3) to 7 and (n-3) to n

7(n+3)/((n+3)(n-3)) + n(n-3)/((n+3)(n-3))     Now simplify by writing only one denominator

7(n+3)+ n(n-3)/((n+3)(n-3))                          Now distribute 

(7n+21+n^2-3n)/((n+3)(n-3))                        simplify

(n^2+4n+21) / ( (n+3)(n-3) )