document.write( "Question 1133675: If x-y=8 and xy=7, then x^3-y^3=
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Algebra.Com's Answer #750929 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "A common type of question on a competitive math test.... \n" ); document.write( "Use the factorization pattern for x^3-y^3 and use the given information to evaluate the resulting factors. \r\n" ); document.write( "x^3-y^3 = (x-y)(x^2+xy+y^2)\r\n" ); document.write( " = (x-y)((x^2-2xy+y^2)+3xy)\r\n" ); document.write( " = (x-y)((x-y)^2+3(xy) \n" ); document.write( "You are given the values of (x-y) and (xy); plug them in to find the answer. \n" ); document.write( " |