document.write( "Question 612736: How to factorise x³ - 49xy² \n" ); document.write( "
Algebra.Com's Answer #385697 by Edwin McCravy(20054)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "x³ - 49xy²\r\n" ); document.write( "\r\n" ); document.write( "The smallest power of a letter that appears in both terms is x\r\n" ); document.write( "\r\n" ); document.write( "So we factor it out:\r\n" ); document.write( "\r\n" ); document.write( "x(x² - 49y²)\r\n" ); document.write( "\r\n" ); document.write( "The parentheses contains the difference of two squares and can be \r\n" ); document.write( "written this way:\r\n" ); document.write( "\r\n" ); document.write( "x[(x)² - (7y)²]\r\n" ); document.write( "\r\n" ); document.write( "Then the bracketed expression can be factored (or as you say \"factorised\")\r\n" ); document.write( "as the product of the difference and the sum of the square roots:\r\n" ); document.write( "\r\n" ); document.write( "x[(x - 7y)(x + 7y)]\r\n" ); document.write( "\r\n" ); document.write( "And we don't need the brackets anymore.\r\n" ); document.write( "\r\n" ); document.write( "x(x - 7y)(x + 7y)\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |