13. (a) a+b+c = 6 and ab+bc+ca = 11, find a²+b²+c² .
chapter expansion of powers of binomials and trinomials.
Answers
Answered by
2
Answer:
14
Step-by-step explanation:
Using the identity,
(a+b+c)²=a²+b²+c²+2(ab+bc+ca)
Rearranging,
a²+b²+c²=(a+b+c)²-2(ab+bc+ca)
=6²-2(11)
= 36-22
= 14
Answered by
2
Answer:14
Step-by-step explanation:
a+b+c = 6...................1
square .......it
a²+b²+c² + 2ab + 2bc + 2ca=36
a²+b²+c² +2(ab+bc+ca)=36
a²+b²+c²+22=36.....................(ab+bc+ca = 11)
a²+b²+c²=14
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