document.write( "Question 262099: I need help on how to Perform the Indicated Operation:\r
\n" ); document.write( "\n" ); document.write( "__X___ - ____3_____
\n" ); document.write( "x^2-16 _x^2+5x+4\r
\n" ); document.write( "\n" ); document.write( "These are 2 different fractions. The first denominator is the x^2-16 and the second denominator under the 3 should be x^2+5x+4. Thank you so much for you help! If you can write it out to where I can understand how you got the conclusion, because I have more questions like this and I want to be able to do them on my own.
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Algebra.Com's Answer #193193 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
I need help on how to Perform the Indicated Operation:
\n" ); document.write( "__X___ - ____3_____
\n" ); document.write( "x^2-16 _x^2+5x+4
\n" ); document.write( ":
\n" ); document.write( "Assume the problem is
\n" ); document.write( "\"x%2F%28%28x%5E2-16%29%29\" - \"3%2F%28%28x%5E2%2B5x%2B4%29%29\"
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\n" ); document.write( "Whenever you see these kind of problems, check to see what can be factored
\n" ); document.write( "The first denominator is the \"difference of fractions\", so you have
\n" ); document.write( "\"x%2F%28%28x-4%29%28x%2B4%29%29%29\" - \"3%2F%28%28x%2B4%29%28x%2B1%29%29%29\"
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\n" ); document.write( "The common denominator would be (x-4)(x+4)(x+1) Note that (x+4) is in both denominators, so we only need have it in the common denominator once
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\n" ); document.write( "\"%28x%28x%2B1%29+-+3%28x-4%29%29%2F%28%28x-4%29%28x%2B4%29%28x%2B1%29%29\" = \"%28%28x%5E2+%2B+x+-+3x+%2B+12%29%29%2F%28%28x-4%29%28x%2B4%29%28x%2B1%29%29\" = \"%28%28x%5E2+-+2x+%2B+12%29%29%2F%28%28x-4%29%28x%2B4%29%28x%2B1%29%29\"
\n" ); document.write( "The numerator will not factor, so that is about all we can do with it
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