SOLUTION: simplify by removing factors of 1. t^2-9/(t+3)^2

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Question 264536: simplify by removing factors of 1.
t^2-9/(t+3)^2

Found 2 solutions by jim_thompson5910, wickedpebble:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28t%5E2-9%29%2F%28t%2B3%29%5E2 Start with the given expression.


%28%28t%2B3%29%28t-3%29%29%2F%28t%2B3%29%5E2 Factor the numerator.


%28%28t%2B3%29%28t-3%29%29%2F%28%28t%2B3%29%28t%2B3%29%29 Factor the denominator.


%28highlight%28%28t%2B3%29%29%28t-3%29%29%2F%28highlight%28%28t%2B3%29%29%28t%2B3%29%29 Highlight the common terms.


%28cross%28%28t%2B3%29%29%28t-3%29%29%2F%28cross%28%28t%2B3%29%29%28t%2B3%29%29 Cancel out the common terms.


%28t-3%29%2F%28t%2B3%29 Simplify.


So %28t%5E2-9%29%2F%28t%2B3%29%5E2 simplifies to %28t-3%29%2F%28t%2B3%29


In other words, %28t%5E2-9%29%2F%28t%2B3%29%5E2=%28t-3%29%2F%28t%2B3%29 where t%3C%3E-3

Answer by wickedpebble(1) About Me  (Show Source):