write each rational expression in the lowest terms:

Question

1. 100a^3bc^2/40a4c

2. 2x^2-2x-40/x^2-25

3. xy-4y-3x+12/x^2-7x+12

Answer 1

 

1)    100       a^3       b      c^2            5         1       b      c

       ____  . ____  .  __  . ____    =     ___ .  ___ . ___ . __

                             

        40         a^4       1       c              2         a       1       1

 

answer:      5bc

                 _____

                   2a

 

2)     2(x^2-x-20)      2(x-5)(x+4)      2(x+4)

       ___________ = __________ = _______

          x^2-25            (x-5)(x+5)          (x+5)

 

 

3)  xy-4y-3x+12        (xy-4y)-(3x-12)      y(x-4)-3(x-4)

    _____________ = _____________ = ___________ =

      x^2-7x+12           (x-4)(x-3)               (x-4)(x-3)

 

   (x-4)(y-3)      (y-3)

  _________ = _____

  (x-4)(x-3)       (x-3)