Question 1176440
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<pre>

    a^2 = 2^(2x) + 2*(2^x)*(2^(-x)) + 2^(-2x)

    b^2 = 2^(2x) - 2*(2^x)*(2^(-x)) + 2^(-2x)

  ---------------------------------------------- Add the two lines


    a^2 + b^2 = 2^(2x+1)            + 2^(-2x+1).      <U>ANSWER</U>
</pre>

Solved.