document.write( "Question 1176440: If a=2^x+2^-x and b=2^x-2^-x, find the expression for a^2+b^2. \n" ); document.write( "

Algebra.Com's Answer #803348 by ikleyn(52932) $\"\"$ $\"About$

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document.write( "    a^2 = 2^(2x) + 2*(2^x)*(2^(-x)) + 2^(-2x)\r\n" );
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document.write( "    b^2 = 2^(2x) - 2*(2^x)*(2^(-x)) + 2^(-2x)\r\n" );
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document.write( "  ---------------------------------------------- Add the two lines\r\n" );
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document.write( "    a^2 + b^2 = 2^(2x+1)            + 2^(-2x+1).      ANSWER\r\n" );
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