hat0 hat0
  • 16-06-2021
  • Mathematics
contestada

If a +b+c=9 and a square +b square +square =1 then ab+bc+ca

Respuesta :

jimrgrant1 jimrgrant1
  • 16-06-2021

Answer:

ab + bc + ca = 40

Step-by-step explanation:

Using the expansion identity

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

9² = 1 + 2(ab + bc + ca)

81 = 1 + 2(ab + bc + ca) ← subtract 1 from both sides

80 = 2(ab + bc + ca) ← divide both sides by 2

40 = ab + bc + ca

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