SOLUTION: x^2+12x+32 * 3 __________ ___ x+4 x+8 Simplify to the lowest terms, please help. Thank you

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: x^2+12x+32 * 3 __________ ___ x+4 x+8 Simplify to the lowest terms, please help. Thank you      Log On


   

Question 182506This question is from textbook
: x^2+12x+32 * 3
__________ ___
x+4 x+8
Simplify to the lowest terms, please help. Thank you This question is from textbook

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28%28x%5E2%2B12x%2B32%29%2F%28x%2B4%29%29%28%283%29%2F%28x%2B8%29%29 Start with the given expression.


%28%28%28x%2B8%29%2A%28x%2B4%29%29%2F%28x%2B4%29%29%28%283%29%2F%28x%2B8%29%29 Factor x%5E2%2B12x%2B32 to get %28x%2B8%29%2A%28x%2B4%29.


%283%2A%28x%2B8%29%2A%28x%2B4%29%29%2F%28%28x%2B4%29%28x%2B8%29%29 Combine the fractions.


Highlight the common terms.


Cancel out the common terms.


3 Simplify.


So %28%28x%5E2%2B12x%2B32%29%2F%28x%2B4%29%29%28%283%29%2F%28x%2B8%29%29 simplifies to 3.


In other words, %28%28x%5E2%2B12x%2B32%29%2F%28x%2B4%29%29%28%283%29%2F%28x%2B8%29%29=3 where x%3C%3E-4 or x%3C%3E-8