Question 72038
<pre>
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(x - 7)}}}
          _________

          5 {{{cross(x - 7)}}}

Answer = <u> 4 </u>
          5


Problem#36 sect. 5.1 
{{{(4r^2-25s^2)/(2r^2+3rs-20s^2)}}}

Factor the numerator and the denominator.

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

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

Divide the common factors.

        {{{cross(2r - 5s)}}}(2r + 5s)
        __________________

        {{{cross(2r - 5s)}}}(r + 4s)

Answers =    2r + 5s
            _________
 
             r + 4s