document.write( "Question 56357: Can someone help me step by step in reducing and simplifying this expression??
\n" ); document.write( "x^2+2x/(4x-3)/6x^3/(8x^2-2x-3)
\n" ); document.write( "Thanks \n" ); document.write( "

Algebra.Com's Answer #38219 by Cintchr(481) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+%28%28x%5E2%2B2x%29%2F%284x-3%29%29%2F%286x%5E3%2F%288x%5E2-2x-3%29%29+\"$
\n" ); document.write( "there is a property that says
\n" ); document.write( " $\"+%28a%2Fb%29%2F%28c%2Fd%29+=+ad%2Fbc+\"$
\n" ); document.write( "So lets re write the complex fraction into a simpler one
\n" ); document.write( " $\"%28%28x%5E2%2B2x%29%288x%5E2-2x-3%29%29%2F%28%284x-3%29%286x%5E3%29%29+\"$
\n" ); document.write( "Factor the 8x^2-2x-3 ....
\n" ); document.write( " $\"%28%28x%5E2%2B2x%29%284x-3%29%282x-2%29%29%2F%28%284x-3%29%286x%5E3%29%29+\"$
\n" ); document.write( "cancel the 4x -3 on top and bottom
\n" ); document.write( " $\"%28%28x%5E2%2B2x%29%282x-2%29%29%2F%286x%5E3%29+\"$
\n" ); document.write( "factor out an x from the first quantity and a 2 out of the second
\n" ); document.write( " $\"%282x%28x%2B2%29%28x-1%29%29%2F%286x%5E3%29+\"$
\n" ); document.write( "Reduce the 2x and the 6x^3
\n" ); document.write( " $\"%28%28x%2B2%29%28x-1%29%29%2F%283x%5E2%29+\"$
\n" ); document.write( "I would accept this answer ... your teacher may want you to foil out the numerator, in which case it would look like this
\n" ); document.write( " $\"+%28x%5E2%2B1x+-2%29%2F%283x%5E2%29+\"$ \n" ); document.write( "

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