SOLUTION: What is the answer and explained work for and list any restrictions. 8(z+1)^3/24z^2+4z-20

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: What is the answer and explained work for and list any restrictions. 8(z+1)^3/24z^2+4z-20      Log On


   

Question 750506: What is the answer and explained work for and list any restrictions. 8(z+1)^3/24z^2+4z-20
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%288%28z%2B1%29%5E3%29%2F%2824z%5E2%2B4z-20%29

%288%28z%2B1%29%5E3%29%2F%284%286z%5E2%2Bz-5%29%29

%288%28z%2B1%29%5E3%29%2F%284%286z-5%29%28z%2B1%29%29

%288%28z%2B1%29%28z%2B1%29%5E2%29%2F%284%286z-5%29%28z%2B1%29%29



%288%2Across%28%28z%2B1%29%29%28z%2B1%29%5E2%29%2F%284%286z-5%29cross%28%28z%2B1%29%29%29

%288%2A%28z%2B1%29%5E2%29%2F%284%286z-5%29%29

%282%2A%28z%2B1%29%5E2%29%2F%286z-5%29

=======================================================

%288%28z%2B1%29%5E3%29%2F%2824z%5E2%2B4z-20%29

simplifies to

%282%2A%28z%2B1%29%5E2%29%2F%286z-5%29

which can be written as %282%2A%28z%5E2%2B2z%2B1%29%29%2F%286z-5%29 or %282z%5E2%2B4z%2B2%29%2F%286z-5%29

Restrictions: z%3C%3E5%2F6 and z%3C%3E-1

These restrictions are put in place to avoid dividing by zero.