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(2) Halla el valor numérico de las siguientes expresiones.
Dado: [tex]a=-5, \quad b=2, \quad c=4[/tex]

Calcula:
[tex]\[ a^3b - 2a + 5c \][/tex]

Sagot :

GinnyAnswer
Claro, vamos a resolver la expresión paso a paso con los valores dados para [tex]\(a\)[/tex], [tex]\(b\)[/tex] y [tex]\(c\)[/tex]:

Dada la expresión:

[tex]\[a \cdot 3 \cdot b - 2 \cdot a + 5 \cdot c\][/tex]

Y los valores:

[tex]\[a = -5\][/tex]
[tex]\[b = 2\][/tex]
[tex]\[c = 4\][/tex]

Sustituyamos los valores en la expresión:

[tex]\[(-5) \cdot 3 \cdot 2 - 2 \cdot (-5) + 5 \cdot 4\][/tex]

Ahora calculamos cada término:

1. Calculamos [tex]\((-5) \cdot 3 \cdot 2\)[/tex]:
[tex]\[(-5) \cdot 3 = -15\][/tex]
[tex]\[-15 \cdot 2 = -30\][/tex]

2. Calculamos [tex]\(-2 \cdot (-5)\)[/tex]:
[tex]\[-2 \cdot (-5) = 10\][/tex]

3. Calculamos [tex]\(5 \cdot 4\)[/tex]:
[tex]\[5 \cdot 4 = 20\][/tex]

Ahora sustituimos los resultados de cada término en la expresión original:

[tex]\[-30 + 10 + 20\][/tex]

Finalmente, sumamos los términos:

[tex]\[-30 + 10 = -20\][/tex]
[tex]\[-20 + 20 = 0\][/tex]

Por lo tanto, el valor numérico de la expresión es [tex]\(0\)[/tex].
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