if a+b+c = 7 and a²+ b² + c² = 27 . Find ab + bc + ca
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Answer:
(ab+bc+ca) = 11
Step-by-step explanation:
(a+b+c)² = a²+b²+c²+2(ab+bc+ca)
(7)² = 27+2(ab+bc+ca)
49-27 = 2 (ab+bc+ca)
22/2 = (ab+bc+ca)
11 = (ab+bc+ca)
∴(ab+bc+ca) = 11
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