document.write( "Question 186365: I'm needing some help with the following problem. Perform the indicated operation and simplify.\r
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document.write( "(s+t)(s^2-st+t^2)\r
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document.write( "thanks! \n" );
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Algebra.Com's Answer #139871 by feliz1965(151) ![]() You can put this solution on YOUR website! (s+t)(s^2-st+t^2)\r \n" ); document.write( "\n" ); document.write( "We multiply s by every member of the trinomial(s^2-st+t^2), multiply t by every member of the same trinomial(s^2-st+t^2) and then we finally combine like terms.\r \n" ); document.write( "\n" ); document.write( "s times s^2 = s^3\r \n" ); document.write( "\n" ); document.write( "s times -st = -s^2t\r \n" ); document.write( "\n" ); document.write( "s times t^2 = st^2\r \n" ); document.write( "\n" ); document.write( "===================\r \n" ); document.write( "\n" ); document.write( "We now do the same thing with t.\r \n" ); document.write( "\n" ); document.write( "t times s^2 = s^2t\r \n" ); document.write( "\n" ); document.write( "t times -st = -st^2\r \n" ); document.write( "\n" ); document.write( "t times t^2 = t^3\r \n" ); document.write( "\n" ); document.write( "===================\r \n" ); document.write( "\n" ); document.write( "We now combine everything:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "s^3 -s^2t + st^2 + s^2t -st^2 + t^3 = \r \n" ); document.write( "\n" ); document.write( "s^3 + t^3 is the final answer.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |