document.write( "Question 675272: Can someone assist in helping with this problem?\r
\n" ); document.write( "\n" ); document.write( "3y^2 - 2
\n" ); document.write( "_________
\n" ); document.write( "3y^2 + 10y - 8\r
\n" ); document.write( "\n" ); document.write( "minus\r
\n" ); document.write( "\n" ); document.write( "y + 10
\n" ); document.write( "________
\n" ); document.write( "3y^2 + 10y - 8\r
\n" ); document.write( "\n" ); document.write( "minus\r
\n" ); document.write( "\n" ); document.write( "y^2 - 6y
\n" ); document.write( "_________
\n" ); document.write( "3y^2 + 10y - 8\r
\n" ); document.write( "\n" ); document.write( "Equals =
\n" ); document.write( "

Algebra.Com's Answer #419684 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
(3y^2 - 2)/(3y^2 + 10y - 8)
\n" ); document.write( "- (y + 10)/(3y^2 + 10y - 8)
\n" ); document.write( "- (y^2 - 6y)/(3y^2 + 10y - 8)
\n" ); document.write( "-------------------------------------
\n" ); document.write( "The denominators are all the same, so combine the numerators
\n" ); document.write( "over the common denominator::
\n" ); document.write( "---
\n" ); document.write( "= [3y^2-2-y-10-y^2+6y]/(3y^2+10y-8)
\n" ); document.write( "----
\n" ); document.write( "= (2y^2 +5y -12)/(3y^2+10y-8)
\n" ); document.write( "----
\n" ); document.write( "Factor:
\n" ); document.write( "= (2y^2+8y-3y-12)/(3y^2+12y-2y-8)
\n" ); document.write( "-----
\n" ); document.write( "= (2y(y+4)-3(y+4))/(3y(y+4)-2(y+4))
\n" ); document.write( "-----
\n" ); document.write( "= [(y+4)(2y-3)]/[(y+4)(3y-2)]
\n" ); document.write( "-------
\n" ); document.write( "= (2y-3)/(3y-2)
\n" ); document.write( "========================
\n" ); document.write( "cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
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