document.write( "Question 617111: If a^2+b^2=11 and a*b=3 , find the value of (a-b)^2 \n" ); document.write( "

Algebra.Com's Answer #388149 by Edwin McCravy(20055) $\"\"$ $\"About$

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If a squared plus b squared =11 and a times b=3 , find the value of (a-b)squared
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document.write( "       a² + b² = 11\r\n" );
document.write( "            ab = 3\r\n" );
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document.write( "Multiply second equation through by -2\r\n" );
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document.write( "          -2ab = -6\r\n" );
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document.write( "Add equals to equals:\r\n" );
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document.write( " a²       + b² = 11\r\n" );
document.write( "     -2ab      = -6\r\n" );
document.write( " ------------------\r\n" );
document.write( " a² - 2ab + b² =  5\r\n" );
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document.write( "Factor the left side\r\n" );
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document.write( "(a - b)(a - b) = 5\r\n" );
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document.write( "      (a - b)² = 5\r\n" );
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document.write( "Edwin

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