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
\n" ); document.write( "\n" ); document.write( "a 12 b 13 c 13.5 d 14 e 14.5
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Algebra.Com's Answer #184334 by palanisamy(496)\"\" \"About 
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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
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