Given a+b+c=10 and ab + bc + ca = 8 find a^2+b^2+c^2
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Answer:
a²+b²+c²=84
Step-by-step explanation:
a+b+c=10
ab + bc + ca = 8
a²+b²+c²=?
(a+b+c)²=a²+b²+c²+2ab + 2bc + 2ca
(a+b+c)²=a²+b²+c²+2(ab + bc + ca)
(10)² = a²+b²+c²+2(8)
100=a²+b²+c²+16
a²+b²+c²=100-16
a²+b²+c²=84
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