document.write( "Question 148649: (x² -4x -5)/(x² +2x +1) ÷ (x -5)/(x +4) \n" ); document.write( "

Algebra.Com's Answer #109015 by nerdybill(7384) $\"\"$ $\"About$

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Given:
\n" ); document.write( "(x² -4x -5)/(x² +2x +1) ÷ (x -5)/(x +4)
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\n" ); document.write( "Instead of division, we can perform a multiplication by flipping the second term:
\n" ); document.write( "(x² -4x -5)/(x² +2x +1) * (x +4)/(x -5)
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\n" ); document.write( "We can factor the numerator of the first term:
\n" ); document.write( "(x-5)(x+1)/(x² +2x +1) * (x +4)/(x -5)
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\n" ); document.write( "Notice the (x-5) cancel leaving:
\n" ); document.write( "(x+1)/(x² +2x +1) * (x +4)/1
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\n" ); document.write( "Now, let's factor the denominator of the first term:
\n" ); document.write( "(x+1)/(x+1)(x+1) * (x +4)/1
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\n" ); document.write( "Now, we can cancel out the (x+1):
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\n" ); document.write( "Finally, we get:
\n" ); document.write( "(x +4)/(x+1)
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