SOLUTION: Directions for both problems are the same:Write each expression in simplest form Problem#24, sect. 5.1 (4x-28)/(5x-35) Problem#36 sect. 5.1 (4r^2-25s^2)/(2r^2+3rs-20s

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Directions for both problems are the same:Write each expression in simplest form Problem#24, sect. 5.1 (4x-28)/(5x-35) Problem#36 sect. 5.1 (4r^2-25s^2)/(2r^2+3rs-20s      Log On


   

Question 72038: Directions for both problems are the same:Write each expression in simplest form
Problem#24, sect. 5.1
(4x-28)/(5x-35)

Problem#36 sect. 5.1
(4r^2-25s^2)/(2r^2+3rs-20s^2)
Answer by rmromero(383) About Me  (Show Source):
You can put this solution on YOUR website!


Problem#24, sect. 5.1 

(4x-28)/(5x-35) 



          4x - 28

          _______



          5x - 35



Factor both numerator and denominator.



          4 (x - 7)

          _________



          5 (x - 7)



Divide common factors.



          4 cross%28x+-+7%29

          _________



          5 cross%28x+-+7%29



Answer =  4 

          5





Problem#36 sect. 5.1 

%284r%5E2-25s%5E2%29%2F%282r%5E2%2B3rs-20s%5E2%29



Factor the numerator and the denominator.



        (2r - 5s)(2r + 5s)

        __________________



        (2r - 4s)(2r + 5s)



Divide the common factors.



        cross%282r+-+5s%29(2r + 5s)

        __________________



        cross%282r+-+5s%29(r + 4s)



Answers =    2r + 5s

            _________

 

             r + 4s