document.write( "Question 523253: When (9x^2 – 6xy + y^2)^5 is expanded and written in polynomial form with integral coefficients in descending order. The sum of the coefficients is \r
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document.write( "A 256 b 512 c 1024 d 2048 e not given
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Algebra.Com's Answer #347253 by Edwin McCravy(20059)![]() ![]() You can put this solution on YOUR website! When (9x2 – 6xy + y2)5 is expanded and written in polynomial form with integral coefficients in descending order. The sum of the coefficients is ____? \n" ); document.write( " \r\n" ); document.write( "The sum of the coefficients of any polynomial can be determined by\r\n" ); document.write( "substituting 1 for all the variables. The thing to realize here is\r\n" ); document.write( "if you substituted 1 for x when the expression is expanded and written\r\n" ); document.write( "in polynomial form with integral coefficients in descending order, you\r\n" ); document.write( "would get the same answer as you would if you substituted 1 in it when \r\n" ); document.write( "it is not expanded and written that way. So we just substitute 1 in the\r\n" ); document.write( "original as it is, and we will get the same answer as if we had expanded \r\n" ); document.write( "it and written it in polynomial form with integral coefficients in \r\n" ); document.write( "descending order, and substituted 1 in that: \r\n" ); document.write( "\r\n" ); document.write( "(9x2 – 6xy + y2)5\r\n" ); document.write( "\r\n" ); document.write( "(9·1² - 6·1·1 + 1²)5\r\n" ); document.write( "\r\n" ); document.write( "(9 - 6 + 1)5\r\n" ); document.write( "\r\n" ); document.write( "45\r\n" ); document.write( "\r\n" ); document.write( "1024.\r\n" ); document.write( "\r\n" ); document.write( "And that's what we'd get if we first expanded it and wrote it in polynomial\r\n" ); document.write( "form with integral coefficients in descending order before we substituted\r\n" ); document.write( "1 in it. The answer is c.\r\n" ); document.write( "\r\n" ); document.write( "Edwin \n" ); document.write( " \n" ); document.write( " |