if a+b+c=6 and a²+b²+c²=25; find ab+bc+ca
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Answer:
We have,
(a+b+c)²=a²+b²+c²+2(ab+bc+ca).
So,
15 2 =a²+b²+c²+2(25)225=a²+b²+c²+50
∴a²+b²+c²=225−50=175
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