SOLUTION: Could you please help me with this problem Simplify as much as possible {{{x^2-x-12over8x^2}}} divided by {{{x^3+3x^2over 8x^3-2x^2}}} divided by 4x-1 over x+2

Algebra ->  Rational-functions -> SOLUTION: Could you please help me with this problem Simplify as much as possible {{{x^2-x-12over8x^2}}} divided by {{{x^3+3x^2over 8x^3-2x^2}}} divided by 4x-1 over x+2      Log On


   

Question 29916: Could you please help me with this problem
Simplify as much as possible
x%5E2-x-12over8x%5E2 divided by x%5E3%2B3x%5E2over+8x%5E3-2x%5E2 divided by 4x-1 over x+2
Answer by sdmmadam@yahoo.com(530) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2-x-12+over+8x%5E2Divided by x%5E3%2B3x%5E2over+8x%5E3-2x%5E2 divided by 4x-1 over x+2
[(x^2-x-12)/8x^2]divided by [(x^3+3x^2)/(8x^3-2x^2)]divided by (4x-1)/(x+2)
=[(x-4)(x+3)/8x^2]divided by [x^2(x+3)/2x^2(4x-1)]divided by (4x-1)/(x+2)
=[(x-4)(x+3)/8x^2]divided by [(x+3)/(4x-1)]divided by (4x-1)/(x+2) (canceling (2x^2))
={[(x-4)(x+3)/8x^2]multiplied by [(4x-1)/(x+3)]}divided by (4x-1)/(x+2)
=[(x-4)(x+3)(4x-1)]/[8x^2(x+3)]divided by (4x-1)/(x+2)
=[(x-4)(4x-1)]/[8x^2]multiplied by (x+2)/(4x-1)
=[(x-4)(4x-1)(x+2)]/[(8x^2)(4x-1)]
= (x-4)(x+2)/8x^2