Question

if a+ b+ cis equal to 6 and a square + b square + c square is equal to 14 , find ab + bc + ca​

Answer 1

a+b+c = 6

a^2 + b^2 + c^2 = 14

ab+bc+ca = a(b+c)+ bc

a= 1

b= 2

c=3

1^2 + 2^2 + 3^2 = 14

ab+ac+bc= 2+3+6 = 11

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Answer 2

Answer:

(a+b+c)²=a²+b²+c²+2ab+2bc+2ac

(6)²=14+2ab+2bc+2ac

36-14=2(ab+bc+ca)

12/2 =ab+bc+ca

ab+bc+ca=6