document.write( "Question 252435: suppose that m + n =3 and m^2 + n^2 = 6 what is the value of m^3 + n^3 ?\r
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document.write( "a 12 b 13 c 13.5 d 14 e 14.5 \n" );
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Algebra.Com's Answer #184334 by palanisamy(496)![]() ![]() ![]() You can put this solution on YOUR website! Given, m + n =3 and m^2 + n^2 = 6 \n" ); document.write( " (m+n)^2 = m^2+n^2+2m*n \n" ); document.write( " 3^2 = 6+2m*n \n" ); document.write( " 9 = 6+2m*n \n" ); document.write( " 3 = 2m*n \n" ); document.write( " m*n = 3/2 \n" ); document.write( " m*n = 1.5 \n" ); document.write( "Next, m^3+n^3 = (m+n)*(m^2+n^2-m*n) \n" ); document.write( " = 3*(6-1.5) \n" ); document.write( " = 3*(4.5) \n" ); document.write( " =13.5 \n" ); document.write( " |