document.write( "Question 344657: Perform the indicated operations and simplify\r
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document.write( "x-3/x-4 - x-1/x+4 + x-12/x^2-16 \n" );
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Algebra.Com's Answer #246600 by haileytucki(390)![]() ![]() You can put this solution on YOUR website! x-(3)/(x)-4-x-(1)/(x)+4+x-(12)/(x^(2))-16\r \n" ); document.write( "\n" ); document.write( "Combine the numerators of all expressions that have common denominators. \n" ); document.write( "x+(-3-1)/(x)-4-x+4+x-(12)/(x^(2))-16\r \n" ); document.write( "\n" ); document.write( "Subtract 1 from -3 to get -4. \n" ); document.write( "x+(-4)/(x)-4-x+4+x-(12)/(x^(2))-16\r \n" ); document.write( "\n" ); document.write( "Move the minus sign from the numerator to the front of the expression. \n" ); document.write( "x-(4)/(x)-4-x+4+x-(12)/(x^(2))-16\r \n" ); document.write( "\n" ); document.write( "Since x and -x are like terms, add -x to x to get 0. \n" ); document.write( "0-(4)/(x)-4+4+x-(12)/(x^(2))-16\r \n" ); document.write( "\n" ); document.write( "Add 4 to -4 to get 0. \n" ); document.write( "-(4)/(x)+x-(12)/(x^(2))-16\r \n" ); document.write( "\n" ); document.write( "To add fractions, the denominators must be equal. The denominators can be made equal by finding the least common denominator (LCD). In this case, the LCD is x^(2). Next, multiply each fraction by a factor of 1 that will create the LCD in each of the fractions. \n" ); document.write( "x*(x^(2))/(x^(2))-(4)/(x)*(x)/(x)-(12)/(x^(2))-16*(x^(2))/(x^(2))\r \n" ); document.write( "\n" ); document.write( "Complete the multiplication to produce a denominator of x^(2) in each expression. \n" ); document.write( "(x^(3))/(x^(2))-(4x)/(x^(2))-(12)/(x^(2))-(16x^(2))/(x^(2))\r \n" ); document.write( "\n" ); document.write( "Combine the numerators of all expressions that have common denominators. \n" ); document.write( "(x^(3)-4x-12-16x^(2))/(x^(2))\r \n" ); document.write( "\n" ); document.write( "Reorder the polynomial x^(3)-4x-12-16x^(2) alphabetically from left to right, starting with the highest order term. \n" ); document.write( "(x^(3)-16x^(2)-4x-12)/(x^(2)) \n" ); document.write( " |