Al simplificar la expresión -3(a – b) + 5b – {2a + b + [a – 3b – (2b – a) + 5b] – a}, se obtiene:

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06-10-2021
Mathematics

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Al simplificar la expresión -3(a – b) + 5b – {2a + b + [a – 3b – (2b – a) + 5b] – a}, se obtiene:

Sagot :

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ajeigbeibraheem ajeigbeibraheem · Answer 1 · 2021-10-13T05:11:53-04:00

Al simplificar la expresión-3 (a - b) + 5b - {2a + b + [a - 3b - (2b - a) + 5b] - a}, se obtiene: - (6a + 7b)

La simplificación de expresiones algebraicas requiere la eliminación de los corchetes por sus factores de multiplicación seguido de la combinación y agrupación de los términos semejantes en suma y resta.

De la información proporcionada:

= -3 (a - b) + 5b - {2a + b + [a - 3b - (2b -a) + 5b] - a}

El primer paso es abrir los soportes de adentro hacia afuera.

i.e.

= -3a + 3b + 5b - {2a + b + [ a - 3b - 2b + a + 5b] - a}
= - 3a + 3b + 5b - {2a + b + a - 3b - 2b + a + 5b - a}
= - 3a + 3b + 5b -2a - b - a + 3b + 2b - a -5b + a

Ahora, el siguiente paso es la reorganización;

= - 3a - 2a - a - a + a + 3b + 5b - b + 3b + 2b - 5b
= - 6a - 7b

Por factorización;

= - (6a + 7b)

Por tanto, podemos concluir que la simplificación de la expresión anterior es - (6a + 7b).

Obtenga más información sobre la expresión algebraica aquí:

https://brainly.com/question/11227332?referrer=searchResults

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