10. F3m-g6n - Gauthmath
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Respuesta: $x^{2}+3xy+y^{2}=16$.
Paso 1: Calculamos $x^{2}+3xy+y^{2}$. Paso 2: Sustituimos $x^{2}+3xy+y^{2}$ por $(x+y)^{2}$. Paso 3: Utilizamos la identidad $(x+y)^{2}=x^{2}+2xy+y^{2}$. Paso 4: Sustituimos $x+y=4$ en $(x+y)^{2}$. Paso 5: Obtenemos $(x+y)^{2}=4^{2}=16$.
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