document.write( "Question 113147: Divide.\r
\n" ); document.write( "\n" ); document.write( "7x to the 5th power y to the 5th power - 21x to the 4th power y to the 4th power + 14x to the 3rd power y to the 3rd power OVER 7x to the 3rd power y to the 3rd power \n" ); document.write( "

Algebra.Com's Answer #82624 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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7x to the 5th power y to the 5th power - 21x to the 4th power y to the 4th power + 14x to the 3rd power y to the 3rd power OVER 7x to the 3rd power y to the 3rd power
\n" ); document.write( ":
\n" ); document.write( "We can write it:
\n" ); document.write( " $\"%287x%5E5y%5E5-21x%5E4y%5E4%2B14x%5E3y%5E3%29%2F%287x%5E3y%5E3%29\"$
\n" ); document.write( ":
\n" ); document.write( "Note that in the numerator we can factor out $\"7x%5E3y%5E3\"$ :
\n" ); document.write( " $\"%287x%5E3y%5E3%28x%5E2y%5E2-3xy%2B2%29%29%2F%287x%5E3y%5E3%29\"$
\n" ); document.write( ":
\n" ); document.write( "Note that the $\"%287x%5E3y%5E3%29\"$ 's conveniently cancel and we have
\n" ); document.write( ":
\n" ); document.write( " $\"%28x%5E2y%5E2-3xy%2B2%29\"$
\n" ); document.write( ":
\n" ); document.write( "But that is an expression that will factor also:
\n" ); document.write( "(xy - 2)(xy - 1)\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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