(a) (x - y) (x + y) + (y – z) (y + 2) + (z – x) (z + x) = 0
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LHS ⇒(x - y) (x + y) + (y – z) (y + 2) + (z – x) (z+x)
⠀⠀⠀⇒ x² - y² + y² - z² + z² - x²
⠀⠀⠀⇒ x² - x² + y² - y² + z² - z²
⠀ ⇒ 0
Therefore, LHS = RHS
Hence proved
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