document.write( "Question 1021965: Factor completely.\r
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document.write( "18m^2-18x+4\r
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document.write( "6x^2+7xy-10y^2
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Algebra.Com's Answer #637682 by Edwin McCravy(20066) You can put this solution on YOUR website! \r\n" ); document.write( "18mē-18x+4\r\n" ); document.write( "\r\n" ); document.write( "That has a typo. Either the variable is m or x.\r\n" ); document.write( "I will assuming that the variable should be m:\r\n" ); document.write( "\r\n" ); document.write( "18mē-18m+4\r\n" ); document.write( "\r\n" ); document.write( "Factor out GCF 2\r\n" ); document.write( "\r\n" ); document.write( "2(9m^2-2m+2)\r\n" ); document.write( "\r\n" ); document.write( "It factors as\r\n" ); document.write( "\r\n" ); document.write( "2(?m??)(?m??)\r\n" ); document.write( "\r\n" ); document.write( "where we put in signs and numbers where the\r\n" ); document.write( "question marks are.\r\n" ); document.write( "\r\n" ); document.write( "There is only one way to factor the +2 on\r\n" ); document.write( "the end. as 2 and 1. So we have\r\n" ); document.write( "\r\n" ); document.write( "2(?m?2)(?m?1)\r\n" ); document.write( "\r\n" ); document.write( "Both signs are - since the last sign is +\r\n" ); document.write( "and the middle sign is -.\r\n" ); document.write( "\r\n" ); document.write( "2(?m-2)(?m-1)\r\n" ); document.write( "\r\n" ); document.write( "The remaining two numbers must multiply to\r\n" ); document.write( "give 9. They can only be 3 and 3, 9 and 1\r\n" ); document.write( "or 1 and 9. Experimenting by trial and error\r\n" ); document.write( "we get that 3 and 3 works.\r\n" ); document.write( "\r\n" ); document.write( "2(3m-2)(3m-1)\r\n" ); document.write( "\r\n" ); document.write( "----------------------\r\n" ); document.write( "\r\n" ); document.write( "6x^2+7xy-10y^2\r\n" ); document.write( "\r\n" ); document.write( "There is no common factor. Since this one\r\n" ); document.write( "has two variables, we have this:\r\n" ); document.write( "\r\n" ); document.write( "(?x??y)(?x??y)\r\n" ); document.write( "\r\n" ); document.write( "and the signs must be opposite since the\r\n" ); document.write( "last sign is -.\r\n" ); document.write( " \r\n" ); document.write( "6 factors as 6∙1 or 3∙2. 10 factors as\r\n" ); document.write( "10∙1, 5∙2 or 2∙5 or 10∙1 \r\n" ); document.write( "\r\n" ); document.write( "After a bit of trial and error we get\r\n" ); document.write( "\r\n" ); document.write( "(6x-5y)(1x+2y)\r\n" ); document.write( "\r\n" ); document.write( "Omitting the 1 coefficient\r\n" ); document.write( "\r\n" ); document.write( "(6x-5y)(x+2y)\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |