if a+b+c=9 and ab+bc+ca=25 find a²+b²+c²
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Given (a + b + c) = 9 and (ab + bc + ca) = 25 (a + b + c)2 = 92 ⇒ a2 + b2 + c2 + 2(ab + bc + ca) = 81 ⇒ a2 + b2 + c2 + 2(25) = 81 ⇒ a2 + b2 + c2 + 50 = 81 ⇒ a2 + b2 + c2 = 81 − 50 = 31
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