SOLUTION: Divide and, if possible, simplify {{{matrix(1,3,(z^2 + 8z + 16)/(z^2 + 13z + 36), "÷", (z^2 + 4z)/(z^2 + 15z + 54))}}}.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Divide and, if possible, simplify {{{matrix(1,3,(z^2 + 8z + 16)/(z^2 + 13z + 36), "÷", (z^2 + 4z)/(z^2 + 15z + 54))}}}.      Log On


   

Question 169314This question is from textbook Introductory Algebra
: Divide and, if possible, simplify
. This question is from textbook Introductory Algebra

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!



Invert the second fraction and change the division to
multiplication:




Factor all four parts:



Indicate the multiplication of numerators and denominators
making just one fraction:



Cancel the first %28z%2B4%29 in the top with the first one in
the bottom:



Cancel the other %28z%2B4%29 in the top with the other one
in the bottom:



Cancel the %28z%2B9%29's



All that's left is

%28z%2B6%29%2Fz

Edwin