SOLUTION: Divide. x^2+2x-15/4x^2 / x^2-25/2x-10 Thank you.

Question 29746: Divide. x^2+2x-15/4x^2 / x^2-25/2x-10
Thank you.
Found 2 solutions by Cintchr, sdmmadam@yahoo.com:
Answer by Cintchr(481) (Show Source): You can put this solution on YOUR website!

factor all parts

looking at each fraction separately .... reduce the fractions

multiple outides / multiply insides

reduce

reduce again

Answer by sdmmadam@yahoo.com(530) (Show Source): You can put this solution on YOUR website!
Divide. x^2+2x-15/4x^2 / x^2-25/2x-10
Thank you.
[(x^2+2x-15)/(4x^2)] / [(x^2-25)/(2x-10)]
= [(x+5)(x-3)/ (4x^2)] / [(x+5)(x-5)/2(x-5)]
(factorising the nr in the first fraction
and using formula a^2-b^2 = (a+b)(a-b) and here a = x and b = 5)
= [(x+5)(x-3)/ (4x^2)] divided by [(x+5)/2]
(canceling (x-5) in the nr and in the dr in the second fraction)
= [(x+5)(x-3)/ (4x^2)] multiplied by [2/(x+5)] (when division symbol is replaced by multiplication symbol then the fraction
that is after the division symbol is reciprocated)
= [(x+5)(x-3)/ (4x^2)]X [2/(x+5)]
= [2(x+5)(x-3)/ (4x^2)(x+5)]
= [(x-3)/ (2x^2)] (canceling (x+5) )
= (x-3)/ 2x^2

RELATED QUESTIONS
Divide {{{((x^2+2x-15)/(4x^2))/((x^2-25)/(2x-10))}}} (answered by rchill)
Divide: x^2 + 2x - 15 x^2 - 25 ------------- / ------------ 4x^2 (answered by ankor@dixie-net.com)
Divide: {{{(x^2+2x-15)/(4x^2)}}} /... (answered by scianci)
help divide these fractions 4x^2/x^2 - 25 divided 2x/x^2 + 2x -... (answered by ankor@dixie-net.com)
Divide; x^2 + 2x - 15 x^2 - 25 ------------- / --------- 4x^2 (answered by checkley75)
Divide the following: x^+2x-15 over 4x^2 divided by x^-25 over 2x-10 Thanks for any (answered by scianci)
x^2 + 2x - 15/4x^2 divided by x^2 - 25/2x -... (answered by gsmani_iyer)
Divide:... (answered by stanbon)
divide... (answered by stanbon,MathLover1)