document.write( "Question 33539: Simplify.
\n" ); document.write( "(36y^2-64x^2 / xy) / (6/x - 8/y). Thanks in advance. \n" ); document.write( "

Algebra.Com's Answer #19953 by Cintchr(481) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+%28%2836y%5E2-64x%5E2%29+%2F+xy%29+%2F+%286%2Fx+-+8%2Fy%29+\"$
\n" ); document.write( "First ... look at the bottom of the complex fraction. We need to go to common denominators.
\n" ); document.write( " $\"+%28%2836y%5E2-64x%5E2%29+%2F+xy%29+%2F+%286%28y%29%2Fxy+-+8%28x%29%2Fxy%29+\"$
\n" ); document.write( "Add the fractions
\n" ); document.write( " $\"+%28%2836y%5E2-64x%5E2%29+%2F+xy%29+%2F+%28%286y-8x%29%2Fxy%29+\"$
\n" ); document.write( "Since this is a Complex fraction ... and the denominators of both parts are the same ... they cancel.
\n" ); document.write( " $\"+%2836y%5E2-64x%5E2%29+%2F+%286y-8x%29+\"$
\n" ); document.write( "The numerator is a special product ( the difference of two squares )
\n" ); document.write( " $\"+%286y+-+8x%29%286y+%2B+8x%29+%2F+%286y-8x%29+\"$
\n" ); document.write( "Cancel the 6y-8x
\n" ); document.write( " $\"+6y+%2B+8x+\"$
\n" ); document.write( "Some instructors will accept this answer ... others will want you to continue.
\n" ); document.write( " $\"+2%283y%2B4x%29+\"$
\n" ); document.write( " \n" ); document.write( "

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