SOLUTION: Please help me simplify by removing factors of 1. (p^2-9)/〖(p+3)〗^2

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Question 375091: Please help me simplify by removing factors of 1.
(p^2-9)/〖(p+3)〗^2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28p%5E2-9%29%2F%28%28p%2B3%29%5E2%29 Start with the given expression.


%28%28p-3%29%2A%28p%2B3%29%29%2F%28%28p%2B3%29%5E2%29 Factor p%5E2-9 to get %28p-3%29%2A%28p%2B3%29.


%28%28p-3%29%2A%28p%2B3%29%29%2F%28%28p%2B3%29%28p%2B3%29%29 Factor %28p%2B3%29%5E2 to get %28p%2B3%29%28p%2B3%29.


Highlight the common terms.


%28%28p-3%29%2Across%28%28p%2B3%29%29%29%2F%28cross%28%28p%2B3%29%29%2A%28p%2B3%29%29 Cancel out the common terms.


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


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


In other words, %28p%5E2-9%29%2F%28%28p%2B3%29%5E2%29=%28p-3%29%2F%28p%2B3%29


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim