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Question
Simplify: `"p"^2 - ["x"^2 - {"x"^2 - ("q"^2 - bar("x"^2 - "q"^2)) - "2y"^2}]`
Solution
`"p"^2 - ["x"^2 - {"x"^2 - ("q"^2 - bar("x"^2 - "q"^2)) - "2y"^2}]`
`= "p"^2 -["x"^2 - {"x"^2 - ("q"^2 - "x"^2 + "q"^2) - "2y"^2}]`
`= "p"^2 - ["x"^2 - {"x"^2 - (2"q"^2 - "x"^2) - "2y"^2}]`
`= "p"^2 - ["x"^2 - {"x"^2 - 2"q"^2 + "x"^2 - "2y"^2}]`
`= "p"^2 - "x"^2 + "2x"^2 - "2q"^2 - "2y"^2`
`= "p"^2 + "x"^2 - "2q"^2 - "2y"^2`
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