document.write( "Question 633590: (X-2)/(x+1)-(3-12x)/(2x^2-x-3) \n" ); document.write( "
Algebra.Com's Answer #399759 by sachi(548) You can put this solution on YOUR website! as2x^2-x-3=2x^2+2x-3x-3=2x(x+1)-3(x+1)=(x+1)(2x-3)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "now (X-2)/(x+1)-(3-12x)/(2x^2-x-3)=(x-2)/(x+1)-(3-12x)/(x+1)(2x-3) \n" ); document.write( "=[(x-2)(2x-3)-(3-12x)]/(x+1)(2x-3) \n" ); document.write( "=[2x^2-3x-4x+6-3+12x]/(x+1)(2x-3) \n" ); document.write( "=[2x^2+5x+3]/(x+1)(2x-3) \n" ); document.write( "=[2x^2+2x+3x+3]/(x+1)(2x-3) \n" ); document.write( "=[2x(x+1)+3(x+1)]/(x+1)(2x-3) \n" ); document.write( "=(x+1)(2x+3)/(x+1)(2x-3) \n" ); document.write( "=(2x+3)/(2x-3) ans \n" ); document.write( " |