Question

(e) If a+b+c= 12 and a² + b3 + c = 64, find the value of ab + bc + ac
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Answer 1

Answer:ab+bc+ac = 40

Step-by-step explanation:

squaring on both sides,

(a+b+c)^2 = (12)^2

(a^2+b^2+ c^2)+ 2(ab + bc +ac) = (12)^2

64 + 2(ab+bc+ac) = 144

2(ab + bc + ac)= 144 - 64 = 80

(ab+ bc + ac) = 80/2

(ab+bc+ac) = 40

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