document.write( "Question 152261: How do you simplify a rational expression like d+7/d^2-49, whats the answer? \n" ); document.write( "
Algebra.Com's Answer #111922 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "\"%28d%2B7%29%2F%28d%5E2-49%29\" Start with the given expression.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28d%2B7%29%2F%28%28d-7%29%2A%28d%2B7%29%29\" Factor \"d%5E2-49\" to get \"%28d-7%29%2A%28d%2B7%29\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28highlight%28%28d%2B7%29%29%29%2F%28%28d-7%29highlight%28%28d%2B7%29%29%29\" Highlight the common terms. \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28cross%28%28d%2B7%29%29%29%2F%28%28d-7%29cross%28%28d%2B7%29%29%29\" Cancel out the common terms. \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%281%29%2F%28d-7%29\" Simplify. \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So \"%28d%2B7%29%2F%28d%5E2-49%29\" simplifies to \"%281%29%2F%28d-7%29\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In other words, \"%28d%2B7%29%2F%28d%5E2-49%29=%281%29%2F%28d-7%29\" where \"d%3C%3E-7\" or \"d%3C%3E7\"
\n" ); document.write( "
\n" ); document.write( "
\n" );