If X+2 Is A Factor Of Fx=x3+kx2-4x+12 Then Find Th - Gauthmath

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Question

Si x+y=4 y x· y=1 ,entonces el valor de x^2+3xy+y^2 esSHOW LESS0

Solution

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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