Answered

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Pregunta 4 de 5

¿Qué inciso muestra una expresión equivalente a la siguiente expresión algebraica?

[tex]\[ 3a + 5b - (2a + 6b) = \][/tex]

Seleccione la respuesta correcta.

A. \( a - b \)

B. \( b - a \)

C. [tex]\( a + b \)[/tex]

Sagot :

GinnyAnswer
Para encontrar una expresión equivalente a \(3a + 5b - (2a + 6b)\), sigamos los pasos de simplificación algebraica:

1. Eliminemos los paréntesis distribuyendo el signo negativo:
[tex]\[ 3a + 5b - 2a - 6b \][/tex]

2. Agrupemos los términos semejantes:
[tex]\[ (3a - 2a) + (5b - 6b) \][/tex]

3. Simplifiquemos las operaciones dentro de cada grupo:
- Para los términos con \(a\): \(3a - 2a = a\)
- Para los términos con \(b\): \(5b - 6b = -b\)

4. Combinemos los términos resultantes:
[tex]\[ a - b \][/tex]

Por lo tanto, la expresión \(3a + 5b - (2a + 6b)\) es equivalente a \(a - b\).

La respuesta correcta es [tex]\(a - b\)[/tex].
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