document.write( "Question 63090This question is from textbook INTRODUCTORY ALEBRA
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document.write( ": 8xsquared minus 2x minus 3 divided or over 6xsquared minus 5s minus 4 \n" );
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Algebra.Com's Answer #43912 by uma(370)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "(8x^2- 2x - 3)/(6x^2 - 5x - 4)\r \n" ); document.write( "\n" ); document.write( "Here we factorise the numerator and denominator separately.\r \n" ); document.write( "\n" ); document.write( "8x^2- 2x - 3 = 8x^2 + 4x - 6x - 3\r \n" ); document.write( "\n" ); document.write( " = 4x(2x + 1) - 3(2x + 1)\r \n" ); document.write( "\n" ); document.write( " = (2x + 1) (4x - 3)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6x^2 - 5x - 4 = 6x^2 + 3x - 8x - 4\r \n" ); document.write( "\n" ); document.write( " = 3x(2x + 1) - 4(2x + 1)\r \n" ); document.write( "\n" ); document.write( " = (2x + 1)(3x - 4)\r \n" ); document.write( "\n" ); document.write( "Thus (8x^2- 2x - 3)/(6x^2 - 5x - 4) \n" ); document.write( " = (2x + 1) (4x - 3)/ (2x + 1)(3x - 4)\r \n" ); document.write( "\n" ); document.write( "= (4x - 3) / (3x - 4)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Good Luck !!!\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |