SOLUTION: Can anyone please help me with this problem? Simplify by removing faqactors of 1. The simplified form is p^2-1 /(divided by) (p+1)^2 Sorry I did not know how to put the div

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Can anyone please help me with this problem? Simplify by removing faqactors of 1. The simplified form is p^2-1 /(divided by) (p+1)^2 Sorry I did not know how to put the div      Log On


   

Question 150428: Can anyone please help me with this problem?
Simplify by removing faqactors of 1. The simplified form is

p^2-1 /(divided by) (p+1)^2
Sorry I did not know how to put the division sign in. Please help me if possible.
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
If you have:
+%28p%5E2-1%29+%2F+%28p%2B1%29%5E2+
.
Notice that the numerator (p^2-1) can be factored:
(p^2-1) = (p-1)(p+1)
.
And, the denominator (p+1)^2 can be rewritten as:
(p+1)^2 = (p+1)(p+1)
.
So, instead of:
+%28p%5E2-1%29+%2F+%28p%2B1%29%5E2+
We can rewrite as:
+%28%28p-1%29%28p%2B1%29%29+%2F+%28%28p%2B1%29%28p%2B1%29%29+
.
After canceling terms we get:
+%28p-1%29+%2F+%28p%2B1%29+