document.write( "Question 1075157: Please help me solve this problem :
\n" ); document.write( "Let M and N be the root of an equation x^2+ax+b=0 and
\n" ); document.write( "let O and P be the roots of x^2+cx+d=0. Express
\n" ); document.write( "(M-O)(N-O)(M-P)(N-P) in terms of the coefficients
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Algebra.Com's Answer #689864 by ikleyn(52794) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "1.  (M-O)*(N-O) =  \r\n" );
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document.write( "                =           (I replaced MN by b based on Vieta's formulas)\r\n" );
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document.write( "                =      (1)      (I replaced M+N by -c  based on Vieta's formulas)\r\n" );
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document.write( "2.  (M-P)*(N-P) =  \r\n" );
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document.write( "                =           (I replaced MN by b based on Vieta's formulas)\r\n" );
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document.write( "                =      (2)      (I replaced M+N by -c  based on Vieta's formulas)\r\n" );
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document.write( "3.  (M-O)*(N-O)*(M-P)*(N-P) =  =  (I used here (1) and (2) )\r\n" );
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document.write( "    =  = \r\n" );
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document.write( "    =  = \r\n" );
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document.write( "    =  = \r\n" );
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document.write( "    = \r\n" );
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document.write( "         ( I replaced here P+O by -c,  by , and PO by d. )\r\n" );
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document.write( "    =  =  = .     ( !!! )\r\n" );
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\n" ); document.write( "\n" ); document.write( "Done.\r
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\n" ); document.write( "\n" ); document.write( "Check my Math. I could make a mistake.\r
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\n" ); document.write( "\n" ); document.write( "But the major idea is VERY CLEAR:\r
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document.write( "     make multiplications and use everywhere the Vieta's formulas for quadratic polynomials: \r\n" );
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document.write( "         the sum of the roots is the coef. at x with the opposite sign; the product of the roots is the constant term.\r\n" );
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