document.write( "Question 294017: 1 x+4
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\n" ); document.write( "x^2-16 x^2-3x-4 \n" ); document.write( "

Algebra.Com's Answer #212143 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
1 x+4
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\n" ); document.write( "x^2-16 x^2-3x-4\r
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\n" ); document.write( "Factor the denominators:
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\n" ); document.write( "1/[(x-4)(x+4)] - (x+4)/[(x-4)(x+1)]
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\n" ); document.write( "lcd = (x+1)(x-4)(x+4)
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\n" ); document.write( "Rewrite each fraction with the lcd as its denominator:
\n" ); document.write( "(x+1)/lcd - (x+4)^2/lcd
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\n" ); document.write( "Combine the numerators over the lcd:
\n" ); document.write( "[x+1 - (x+4)^2]/lcd
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\n" ); document.write( "Simplify the numerator:
\n" ); document.write( "[x+1 -x^2 - 8x - 16]/lcd
\n" ); document.write( "---
\n" ); document.write( "Rearrange:
\n" ); document.write( "[-(x^2 +7x + 15)]/[(x+1)(x^2-16)]
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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