Math, asked by aadi7163, 11 months ago

if a+b+c=3,abc=-12 and ab+bc+ca=-4, find a3+b3+c3​

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Answered by ItzMyra53
4

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if a+b+c=3,abc=-12 and ab+bc+ca=-4, find a3+b3+c3(question)

Answer#️⃣#️⃣

given  a+b+c = 6 ,  ab + bc + ca = 11

given  a+b+c = 6 ,  ab + bc + ca = 11  ( a + b + c )² = a² + b² + c² + 2 (ab + bc + ca)

given  a+b+c = 6 ,  ab + bc + ca = 11  ( a + b + c )² = a² + b² + c² + 2 (ab + bc + ca) ⇒ (6)² = a² + b² + c² + 2(11) ⇒ a² + b² + c² = 36-22 = 14

given  a+b+c = 6 ,  ab + bc + ca = 11  ( a + b + c )² = a² + b² + c² + 2 (ab + bc + ca) ⇒ (6)² = a² + b² + c² + 2(11) ⇒ a² + b² + c² = 36-22 = 14 now a³ + b³ + c³ -3abc=  ( a + b + c) (a² + b² + c² - ab - bc - ca )

given  a+b+c = 6 ,  ab + bc + ca = 11  ( a + b + c )² = a² + b² + c² + 2 (ab + bc + ca) ⇒ (6)² = a² + b² + c² + 2(11) ⇒ a² + b² + c² = 36-22 = 14 now a³ + b³ + c³ -3abc=  ( a + b + c) (a² + b² + c² - ab - bc - ca )                             ⇒ (6)(14 - 11) = 6. 3 = 18

given  a+b+c = 6 ,  ab + bc + ca = 11  ( a + b + c )² = a² + b² + c² + 2 (ab + bc + ca) ⇒ (6)² = a² + b² + c² + 2(11) ⇒ a² + b² + c² = 36-22 = 14 now a³ + b³ + c³ -3abc=  ( a + b + c) (a² + b² + c² - ab - bc - ca )                             ⇒ (6)(14 - 11) = 6. 3 = 18hope u'll get my ans............doubts, ask?

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Answered by SulagnaRoutray
6

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