Question

if a+b+c=16 and ab+ bc+ca=3 then find the value a square + b square + c square​

Answer 1

Answer:

a² + b² + c² = 250

Step-by-step explanation:

We will use the following identity over here:

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

Substituting the given values

(16)² = a² + b² + c² + 2(3)

256 = a² + b² + c² + 6

a² + b² + c² = 256 - 6 = 250

Hence solved.