4. Show that
(a-b) (a+b) + (b-c) (b+c) + (c-a)
(c+a) = 0.
(2 Marks)
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Answer:
(a-b) (a+b) + (b-c) (b+c) + (c-a) (c+a) = 0
=(a²-b²)+(b²-c²)+(c²-a²)
=a²-b²+b²-c²+c²-a²
=a²-a²-b²+b²-c²+c²
=0
hence proved
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