document.write( "Question 106206This question is from textbook Intermediate Algebra
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document.write( ": How do you factor this completely and does it have a GCF?\r
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document.write( "x^10y^3-4x^9y^-21x^8y \n" );
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Algebra.Com's Answer #77249 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "How do you factor this completely and does it have a GCF? \r\n" ); document.write( "\r\n" ); document.write( "x10y3 - 4x9y2 - 21x8y\r\n" ); document.write( "\r\n" ); document.write( "We can factor out the smallest power of any\r\n" ); document.write( "letter that appears in all three terms.\r\n" ); document.write( "\r\n" ); document.write( "x and y both appear in all three terms.\r\n" ); document.write( "\r\n" ); document.write( "The smallest power of x that appears is x8\r\n" ); document.write( "The smallest power of y that appears is y1 or just y\r\n" ); document.write( "\r\n" ); document.write( "So we can factor out x8y as the GCF\r\n" ); document.write( "\r\n" ); document.write( "x8y(x2y2 - 4xy - 21)\r\n" ); document.write( "\r\n" ); document.write( "Now we write this:\r\n" ); document.write( "\r\n" ); document.write( "x8y(xy )(xy )\r\n" ); document.write( "\r\n" ); document.write( "Now we think of two positive integers which\r\n" ); document.write( "multiply to give -21 and have a sum of -4.\r\n" ); document.write( "\r\n" ); document.write( "These are -7 and +3\r\n" ); document.write( "\r\n" ); document.write( "So the completely factored form is:\r\n" ); document.write( "\r\n" ); document.write( "x8y(xy - 7)(xy + 3)\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |