document.write( "Question 399502: simplify by removing factors of 1 \r
\n" ); document.write( "\n" ); document.write( "n^2 - 16/(n+4)^2\r
\n" ); document.write( "\n" ); document.write( "n^2-16 over (n+4)^2 \n" ); document.write( "

Algebra.Com's Answer #282887 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%28n%5E2+-+16%29%2F%28n%2B4%29%5E2\"$
\n" ); document.write( "To remove factors of 1 we have to have factors. SO we start by factoring. The denominator is already factored. The numerator is a difference of squares:
\n" ); document.write( " $\"%28%28n%2B4%29%28n-4%29%29%2F%28%28n%2B4%29%28n%2B4%29%29\"$
\n" ); document.write( "We can see that the numerator and denominator have a common factor: (n+4). We can cancel this:
\n" ); document.write( " $\"%28cross%28%28n%2B4%29%29%28n-4%29%29%2F%28cross%28%28n%2B4%29%29%28n%2B4%29%29\"$
\n" ); document.write( "leaving:
\n" ); document.write( " $\"%28n-4%29%2F%28n%2B4%29\"$

\n" ); document.write( "Note: Neither the n's nor the 4's cancel. They are not factors and only factors may be canceled.
\n" ); document.write( " \n" ); document.write( "

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