SOLUTION: Simplify: {{{ (y-(9 / y)) / (1+(3 / y)) }}}

Algebra ->  Equations -> SOLUTION: Simplify: {{{ (y-(9 / y)) / (1+(3 / y)) }}}      Log On


   

Question 715695: Simplify: +%28y-%289+%2F+y%29%29+%2F+%281%2B%283+%2F+y%29%29+
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+%28y-%289+%2F+y%29%29+%2F+%281%2B%283+%2F+y%29%29+
Multiply top and bottom by +y+
+%28+y%5E2+-+9+%29+%2F+%28+y+%2B+3+%29+
Factor
+%28+%28y+%2B+3%29%2A%28y+-+3%29+%29+%2F+%28+y+%2B+3+%29+
+y+-+3+ answer
Note that +y+ cannot be +0+, since
that would make the denominator
equal to infinity