document.write( "Question 145462: Please add the following rational expressions\r
\n" ); document.write( "\n" ); document.write( "1. $\"5n%2F3%2B4n%2F3\"$ \r
\n" ); document.write( "\n" ); document.write( "2. $\"x%2F%28x%2B1%29%28x%2B8%29%2B+8%2Fx%5E2%2B9x%2B8\"$ \r
\n" ); document.write( "\n" ); document.write( "3. $\"a%2Fa%5E2-4%2B-2%2Fa%5E2-4\"$ \n" ); document.write( "

Algebra.Com's Answer #106130 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
The denominators are the same, so just add the numerators;
\n" ); document.write( "3 will cancel into 9:
\n" ); document.write( "1. $\"%285n%29%2F3\"$ + $\"%284n%29%2F3\"$ = $\"%289n%29%2F3\"$ = 3n
\n" ); document.write( ":
\n" ); document.write( "2. $\"x%2F%28%28x%2B1%29%28x%2B8%29%29\"$ + $\"8%2F%28%28x%5E2%2B9x%2B8%29%29\"$
\n" ); document.write( "Factor the 2nd denominator and you can see that you can add the numerators:
\n" ); document.write( " $\"x%2F%28%28x%2B1%29%28x%2B8%29%29\"$ + $\"8%2F%28%28x%2B1%29%28x%2B8%29%29\"$ = $\"%28%28x%2B8%29%29%2F%28%28x%2B1%29%28x%2B8%29%29\"$
\n" ); document.write( "The (x+8)'s will cancel, leaving:
\n" ); document.write( " $\"1%2F%28%28x%2B1%29%29\"$
\n" ); document.write( ":
\n" ); document.write( "Same rules apply here:
\n" ); document.write( "3. $\"a%2F%28%28a%5E2-4%29%29\"$ + $\"%28-2%29%2F%28%28a%5E2-4%29%29\"$ = $\"%28%28a-2%29%29%2F%28%28a%5E2-4%29%29\"$
\n" ); document.write( "However, the denominator can be factored (the difference of squares)
\n" ); document.write( " $\"%28%28a-2%29%29%2F%28%28a-2%29%28a%2B2%29%29\"$
\n" ); document.write( "You can see he (a-2)'s will cancel leaving us with:
\n" ); document.write( " $\"1%2F%28%28a%2B2%29%29\"$
\n" ); document.write( ";
\n" ); document.write( ":
\n" ); document.write( "Did this help you understand this stuff? Let me know please.
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