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April 2020
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Prove que (a+b+c)² é igual a a²+b²+c²+2ab+2ac+2bc
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dap2205
(a+b+c)² =
(a+b+c)(a+b+c) =
a² + ab + ac + ab + b² + bc + ac + bc + c² =
a² + 2ab +2ac + 2bc + b² + c²
*Colocando em ordem :
a² + b² + c² + 2ab + 2ac + 2bc
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(a+b+c)(a+b+c) =
a² + ab + ac + ab + b² + bc + ac + bc + c² =
a² + 2ab +2ac + 2bc + b² + c²
*Colocando em ordem :
a² + b² + c² + 2ab + 2ac + 2bc