SOLUTION: Divide: {{{(x^2+2x-15)/(4x^2)}}} / {{{(x^-25)/(2x-10)}}}

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Divide: {{{(x^2+2x-15)/(4x^2)}}} / {{{(x^-25)/(2x-10)}}}      Log On


   

Question 85435: Divide:
%28x%5E2%2B2x-15%29%2F%284x%5E2%29 / %28x%5E-25%29%2F%282x-10%29
Answer by scianci(186) About Me  (Show Source):
You can put this solution on YOUR website!
Put everything in factored form:
%28x+%2B+5%29%28x+-+3%29%2F%284x%5E2%29 / %28x%2B+5%29%28x+-+5%29%2F%282%28x-5%29%29
Invert the one on the right and change to multiply:
%28x+%2B+5%29%28x+-+3%29%2F%284x%5E2%29 * %282%28x+-+5%29%29%2F%28%28x+%2B+5%29%28x+-+5%29%29
Cancel all common factors ; the (x + 5)s , the (x - 5)s and reduce the 2 and the 4 to a 1 [which is ommitted by default] and a 2:
Final answer is %28x+-+3%29%2F4x%5E2