14.
If (a + b)2 + (b + c)2 + ( + d)2 = 4(ab + bc + cd) prove that a = b = c= d.
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Step-by-step explanation:
i) Expanding both sides,
a² + 2ab + b² + b² + 2bc + c² + c² + 2cd + d² = 4ab + 4bc + 4cd
ii) Rearranging the above and simplifying,
(a² - 2ab + b²) + (b² - 2bc + c²) + (c² - 2cd + d²) = 0
MARK BRAINLIEST
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