If a2 + b2 + c2 = 16 and ab+bc+ca = 10, find the value of a3+b3+c3 – 3abc.
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Answer:
A2+b2+ C2=16
(a+b+c)2=16
a+b+c=4
and ab+bc+ca=10
We know, A3+b3+C3= (a+b+c)(A2+b2+c2-ab-bc-ca)
=4(16-10)
4×6=24
hence the answer is 24
Step-by-step explanation:
he the value of A2+b2+c3 is given from that is got the value of a+b+c after that I put the value in (a+b+c)(A2+b2+c2-ab-bc-ca) the formula of A3+b3+c3-3abc and I got the answer
hope this answer will help u
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