Sr Examen
Expresión y+(z+x)(x+y)+x(y+z)
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
y∨(x∧(y∨z))∨((x∨y)∧(x∨z))
$$y \vee \left(x \wedge \left(y \vee z\right)\right) \vee \left(\left(x \vee y\right) \wedge \left(x \vee z\right)\right)$$
Solución detallada
$$\left(x \vee y\right) \wedge \left(x \vee z\right) = x \vee \left(y \wedge z\right)$$
$$y \vee \left(x \wedge \left(y \vee z\right)\right) \vee \left(\left(x \vee y\right) \wedge \left(x \vee z\right)\right) = x \vee y$$
$$y \vee \left(x \wedge \left(y \vee z\right)\right) \vee \left(\left(x \vee y\right) \wedge \left(x \vee z\right)\right) = x \vee y$$
Tabla de verdad
+---+---+---+--------+ | x | y | z | result | +===+===+===+========+ | 0 | 0 | 0 | 0 | +---+---+---+--------+ | 0 | 0 | 1 | 0 | +---+---+---+--------+ | 0 | 1 | 0 | 1 | +---+---+---+--------+ | 0 | 1 | 1 | 1 | +---+---+---+--------+ | 1 | 0 | 0 | 1 | +---+---+---+--------+ | 1 | 0 | 1 | 1 | +---+---+---+--------+ | 1 | 1 | 0 | 1 | +---+---+---+--------+ | 1 | 1 | 1 | 1 | +---+---+---+--------+