# If (a + b+ c)(a –

Given: (a + b+ c)(a –b + c) = a2 + b2 + c2

a2 –ab + ac + ab - b2 + bc + ca – bc + c2 = a2 + b2 + c2

a2 –ab + ac + ab - b2 + bc + ca – bc + c2 - a2 - c2= b2 + b2

2ac = 2b2

b2 = ac

a, b, c are in continued proportion.

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