Q6 of 32 Page 2

If a + b + c = 9 and ab + bc + ca = 23, find the value of a2 + b2 + c2.

Concept Used:


(a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca)


Explanation:


Given: a + b + c = 9 and ab + bc + ca = 23


(9)2 = a2 + b2 + c2 + 2(23)


a2 + b2 + c2 = 81 – 46


a2 + b2 + c2 = 35


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