Question

if the sum of three number abc is 6 and the sum of there square is 14.Find the sum of product of these 3 number​

Answer 1

Answer:

11

Step-by-step explanation:

Given:  a + b + c = 6      and      a² + b² + c² = 14

Find:    ab + bc + ca

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

=> 6² = 14 + 2( ab + bc + ca )

=> 2( ab + bc + ca ) = 36 - 14 = 22

=> ab + bc + ca = 11