document.write( "Question 69233: subtract
\n" ); document.write( " 4x + 1 - 3x - 2
\n" ); document.write( "----------------- - -----------------
\n" ); document.write( "25x^2 + 15x + 2 - 30x^2 + 11x + 1
\n" ); document.write( "

Algebra.Com's Answer #49250 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
subtract
\n" ); document.write( " 4x + 1 - 3x - 2
\n" ); document.write( "----------------- - -----------------
\n" ); document.write( "25x^2 + 15x + 2 - 30x^2 + 11x + 1\r
\n" ); document.write( "\n" ); document.write( "-----------------------------------------------\r
\n" ); document.write( "\n" ); document.write( "Factor the denominators to get:\r
\n" ); document.write( "\n" ); document.write( "=[(4x+1)/(5x+2)(5x+1)] - [(3x-2)/(5x+1)(6x+1)]\r
\n" ); document.write( "\n" ); document.write( "Write each fraction over the least common denominator:
\n" ); document.write( "The least common denominator (lcd) is (5x+1)(5x+2)(6x+1)\r
\n" ); document.write( "\n" ); document.write( "=[(4x+1)(6x+1)/lcd] -[(3x-2)(5x+2)/lcd]\r
\n" ); document.write( "\n" ); document.write( "Combine the numerators and write the sum over the lcd:\r
\n" ); document.write( "\n" ); document.write( "=[24x^2+10x+1-(15x^2-4x-4)]/lcd\r
\n" ); document.write( "\n" ); document.write( "= (9x^2+14x+5)/lcd\r
\n" ); document.write( "\n" ); document.write( "Factor the numerator to get:\r
\n" ); document.write( "\n" ); document.write( "=[(9x+5)(x+1)] / [(5x+1)(5x+2)(6x+1)]\r
\n" ); document.write( "\n" ); document.write( "There are no factors common to numerator and denominator
\n" ); document.write( "so that is the final solution.\r
\n" ); document.write( "\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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