a+b+c=6&ab+ac+ca=11 find the value of.
a^3+b^3+c^3=3abc
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a³+b³+c³-3abc=(a + b + c)(a² + b² + c² - ab - bc - ca)
Now,
(a+b+c)²=a²+b²+c²+2(ab+bc+ca)
=36=a²+b²+c²+2(11)
=36-22=a²+b²+c²
=a²+b²+c²=14
put the values......
a³+b³+c³-3abc
=(a + b + c)(a² + b² + c² - ab - bc - ca)
=6 x {14-(ab+bc+ca)}
=6x (14-11)
=6x3
=18
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1
Answer:
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