if a2+. b2+. c2 =35 ,Ab + bc +ac=13 find value of a +b +c
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Answer:
a + b + c = 9 ...(i)
a² + b² + c² = 35 ...(ii)
➽ (a + b + c)² - 2 (ab + bc + ca) = 35
➽ 9² - 2 (ab + bc + ca) = 35
➽ 2 (ab + bc + ca) = 81 - 35
➽ 2 (ab + bc + ca) = 46
➽ ab + bc + ca = 23 ...(iii)
Now,
a³ + b³ + c³ - 3abc
= (a + b + c) (a² + b² + c² - ab - bc - ca)
= (a + b + c) {(a² + b² + c²) - (ab + bc + ca)}
= 9 (35 - 23), using (i), (ii) and (iii)
= 9 × 12
= 108
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Mark me as brainliest
The answer is
108
and above is the solution
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