document.write( "Question 536968: z-4/z-8-z+1/z+8+z-72/z^2-64 Perform the indicated operations and simplify. I have tried this a dozen times and keep getting different answers. Can you Please Help me? \n" ); document.write( "
Algebra.Com's Answer #352679 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! (z-4)/(z-8)-(z+1)/(z+8)+(z-72)/(z^2-64) \n" ); document.write( "------ \n" ); document.write( "least common denominator: z^2-64 \n" ); document.write( "---- \n" ); document.write( "Rewrite each term with the lcd as its denominator: \n" ); document.write( "[(z-4)(z+8)]/lcd - [(z+1)(Z-8)]/lcd + [(z-72)]/lcd \n" ); document.write( "----- \n" ); document.write( "Combine the numerators over the lcd: \n" ); document.write( "[z^2+4z-32 - [z^2-7z-8] + z-72]/lcd \n" ); document.write( "---- \n" ); document.write( "[z^2+4z-32-z^2+7z+8+z-72]/lcd \n" ); document.write( "---- \n" ); document.write( "= [12z-96]/[z^2-64] \n" ); document.write( "---- \n" ); document.write( "= [12(z-8)]/[z^2-64] \n" ); document.write( "--- \n" ); document.write( "= 12/(z+8] \n" ); document.write( "=============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |