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Question
Evaluate: `(1/2 "a" + 1/2 "b") (1/2 "a" - 1/2 "b")`
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Solution
`(1/2 "a" + 1/2 "b") (1/2 "a" - 1/2 "b")`
`= 1/"2a" (1/2 "a" - 1/2"b") + 1/2"b"(1/2"a" - 1/2"b")`
`= 1/4 "a"^2 - 1/4"ab" + 1/4 "ab" - 1/4 "b"^2`
`= 1/4 "a"^2 - 1/4 "b"^2`
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