document.write( "Question 706951: What is the difference in simplest form?\r
\n" ); document.write( "\n" ); document.write( "n^2+3n+2/n^2+6b+8 - 2n/n+4 \n" ); document.write( "
Algebra.Com's Answer #435519 by jsmallt9(3758)\"\" \"About 
You can put this solution on YOUR website!
In the future, please put parentheses around multiple-term numerators and denominators. Without the parentheses it is difficult for us to determine what is in a numerator or denominator and what is in separate terms. What you posted meant:
\n" ); document.write( "\"n%5E2%2B3n%2B2%2Fn%5E2%2B6b%2B8+-+2n%2Fn%2B4\"
\n" ); document.write( "which is probably not what you meant. Clearly expressed problems are more like to get quick responses.

\n" ); document.write( "I'm guessing you meant:
\n" ); document.write( "\"%28n%5E2%2B3n%2B2%29%2F%28n%5E2%2B6b%2B8%29+-+2n%2F%28n%2B4%29\"
\n" ); document.write( "If this is correct then keep reading. If not then re-post your question using parentheses to make it clear.

\n" ); document.write( "First let's factor the numerators and denominators. This will help us:
  • find the lowest common denominator; and
  • possibly reduce some fractions
The numerator and denominator in the first fraction will each factor:
\n" ); document.write( "\"%28%28n%2B2%29%28n%2B1%29%29%2F%28%28n%2B2%29%28x%2B4%29%29+-+2n%2F%28n%2B4%29\"
\n" ); document.write( "As we can see, there is a factor we can cancel in the first fraction:
\n" ); document.write( "
\n" ); document.write( "leaving:
\n" ); document.write( "\"%28n%2B1%29%2F%28x%2B4%29+-+2n%2F%28n%2B4%29\"
\n" ); document.write( "Not only did the first fraction reduce but we got common denominators at the same time! So we can proceed with the subtraction:
\n" ); document.write( "\"%28%28n%2B1%29+-+%282n%29%29%2F%28n%2B4%29\"
\n" ); document.write( "which simplifies to:
\n" ); document.write( "\"%28-n%2B1%29%2F%28n%2B4%29\" \n" ); document.write( "
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