If a,b,c,d are in geomrtric seq
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Answer: (a - d)²
Step-by-step explanation:
a × d = b × c
Also
ac = b²
bd = c²
(b-c)² + (c-a)² + (d-b)² = b² + c² - 2 bc + c² + a² - 2 ac + d² + b² - 2 db
= a² + 2 b² + 2 c² + d² - 2 bc - 2 ac - 2 db
= a² + 2 b² + 2 c² + d² - 2 ad - 2 ac - 2 db
= a² - 2 ad + d² + 2 b² + 2 c² - 2 ac - 2 db
= a² - 2 ad + d² + 2 b² + 2 c² - 2 b² - 2 c²
= (a - d)²
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