It seems like some information is missing or the problem was not asked correctly (possibly by a textbook). "g<sup>2</sup> - 36h<sup>2</sup>" is not evaluated. When you evaluate something, you end up with a number, not an expression with variables. Perhaps the instructions meant to be "simplify" or "expand".
Ashley, Matt has it correct. I don't follow your "add the opposite of 6"
Everyone should notice that the original problem is in the form
(a+b)(a-b) which always gives a^2-b^2
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