SOLUTION: Write the expression in simplest form. 4r^2-25s^2 ----------- --- 2r^2+3rs-20s^2 I have tried to work this problem, over and over again, but can not figure it o

Question 64921: Write the expression in simplest form.
4r^2-25s^2
---------------
2r^2+3rs-20s^2
I have tried to work this problem, over and over again, but can not figure it out. The best I can come up with is -3/3rs-4. I hope that someone out there can help me, because I do not have any more hair to pull out. Thanks.
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
FACTORING THE NUMERATOR WE GET
4R^2-25S^2=(2R-5S)(2R+5S)
NOW FACTOR THE DENOMINATOR WE GET
(2R-5S)(R+4S)
NOW WE CANCEL OUT THE COMMON TERM (2R-5S) & WE HAVE LEFT
(2R+5S)/(R+4S)
##############################################################################
LETS TRY SOME SIMPLE EXAMPLES:
X^2-25=0 WHEN YOU HAVE A SECOND POWER UNKNOWN (X^2) & A NEGATIVE SQUARE(-25)
TAKE THE SQUARE ROOT OF BOTH TERMS x & 5:
NOW GROUP THESE TWO FACTORS WITH A (+) & A (-) SIGN THUS:
(X+5)(X-5) EXPANDING THESE FACTORS WE HAVE (X*X=X^2) & (5*-5=-25) THE NORMAL MIDDLE TERMS CANCEL EACH OTHER OUT (5X-5X=0)
##############################################################################
HOPE THIS HELPS,
IF YOU NEED ADDITIONAL EXAMPLES -- PLEASE ASK.
RELATED QUESTIONS
Write this expression in simplest form. 4r^2 - 25s^2/2r^2 + 3rs - 20s^2... (answered by fractalier)

Write the expression in simplest form. 4r^2-25s^2 -------------- =... (answered by checkley71)

I have to write this in silmplest expression form: 4r^2-25s^2/2r^2+3rs-20s^2 Please... (answered by ankor@dixie-net.com)

Write each expression in simplest form. 4r^2 � 25s^2 / 2r^2 + 3rs � 20s^2 (answered by ankor@dixie-net.com)

write each expression in simplest form. 4r^2-25s^2 /... (answered by checkley71)

HELP!! Write the expression in simplest form: 4r^2-25s^2 over 2r^2+3rs-20s^2 Thank (answered by Nate,funmath)

can someone help me write to simplest form 4r^2-25s^2 over... (answered by bucky)

Write the expression in simplest form: 4r^2-25s^2 ---------- 2r^2+3rs-20s^2 I... (answered by ptaylor)

Write in simplest form. 4r^2 - 25s^2 divided by 2r^2 + 3rs -... (answered by tutorcecilia)