SOLUTION: Simplify the complex fraction: {{{ ((5/x^3)-(1/x^2)) / ((2/x)+(3/x^2)) }}}

Algebra ->  Equations -> SOLUTION: Simplify the complex fraction: {{{ ((5/x^3)-(1/x^2)) / ((2/x)+(3/x^2)) }}}      Log On


   

Question 712932: Simplify the complex fraction: +%28%285%2Fx%5E3%29-%281%2Fx%5E2%29%29+%2F+%28%282%2Fx%29%2B%283%2Fx%5E2%29%29+
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The first step can be, multiply entire fraction by %28x%5E3%2Fx%5E3%29. This will clear all the denominators containing x. You will still have a numerator with some x factors and a denominator with some x factors but the fraction will be simpler than as originally given. In fact, you should immediately find,

%285-x%29%2F%282x%5E2%2B3x%29