1.

If a+b+c=6 and ab+bc+ca=11 find the value of a^3+b^3+c^3-3abc

Answer»

Step-by-step explanation:

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



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