document.write( "Question 170323: Find the term not involving y in the expansion of
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document.write( "bracket( 1 over y exponent 3 + y exponent 2 closed bracket) exponent 5 \n" );
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Algebra.Com's Answer #125815 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Find the term not involving y in the expansion of \n" ); document.write( "bracket( 1 over y exponent 3 + y exponent 2 closed bracket) exponent 5 \n" ); document.write( "------------------ \n" ); document.write( "[(1/y^3) + y^2]^5\r \n" ); document.write( "\n" ); document.write( "= [[y^5+1]^5]/y^15\r \n" ); document.write( "\n" ); document.write( "Let m = y^5\r \n" ); document.write( "\n" ); document.write( "= [m+1]^5/m^3\r \n" ); document.write( "\n" ); document.write( "= [m^5 + 5m^4 + 10m^3+.....]/m^3\r \n" ); document.write( "\n" ); document.write( "Comment: Here you can see that if you divide thru by m^3 you will \n" ); document.write( "have a term 10m^3/m^3 = 10 \n" ); document.write( "---------------------------- \n" ); document.write( "That is the term that has no \"m\" in it and therefore no \"y\". \n" ); document.write( "That term is 10m^3/m^3 = 10y^15/y^15\r \n" ); document.write( "\n" ); document.write( "============================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |