SOLUTION: I do not understand how to solve the following: x squared + 5x + 4 OVER (x + 3)squared DIVIDED BY x + 1 OVER x squared minus 9 Please show me how to go about solving this. Than

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: I do not understand how to solve the following: x squared + 5x + 4 OVER (x + 3)squared DIVIDED BY x + 1 OVER x squared minus 9 Please show me how to go about solving this. Than      Log On


   

Question 56585This question is from textbook Algebra
: I do not understand how to solve the following:
x squared + 5x + 4 OVER (x + 3)squared DIVIDED BY x + 1 OVER x squared minus 9
Please show me how to go about solving this. Thank you. This question is from textbook Algebra

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
x squared + 5x + 4 OVER (x + 3)squared DIVIDED BY x + 1 OVER x squared minus 9
:
This is how I see this expression, however, it's not an equation, so we can't solve it, just simplify and do the math:
%28x%5E2+%2B+5x+%2B+4%29%2F%28%28x+%2B+3%29%5E2%29 / %28x+%2B+1%29%2F%28x%5E2+-+9%29
:
Remember when we are dividing fractions; invert the divisor and multiply:
%28x%5E2+%2B+5x+%2B+4%29%2F%28%28x+%2B+3%29%5E2%29 * %28x%5E2+-+9%29%2F%28x+%2B+1%29
:
Factor everything that we can:
%28%28x+%2B+1%29%28x+%2B+4%29%29%2F%28%28x+%2B+3%29%28x+%2B+3%29%29 * %28%28x-3%29%28x%2B3%29%29%2F%28x%2B1%29
:
Cancel: (x+1) and (x+3)
%28x+%2B+4%29%2F%28x+%2B+3%29 * %28x-3%29%2F1 = %28%28x+%2B+4%29%28x-3%29%29%2F%28x+%2B+3%29