Questions: Encuentra el factor común de las siguientes expresiones -a-b+6(a+b)

Encuentra el factor común de las siguientes expresiones -a-b+6(a+b)
Transcript text: Encuentra el factor común de las siguientes expresiones $-a-b+6(a+b)$
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Solution

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To find the common factor of the given expression, we first need to simplify the expression by combining like terms. Then, we can factor out the common term from the simplified expression.

Paso 1: Simplificar la expresión

Primero, simplificamos la expresión original \(-a - b + 6(a + b)\). Al combinar términos semejantes, obtenemos: \[ -a - b + 6a + 6b = 5a + 5b \]

Paso 2: Factorizar la expresión simplificada

Luego, factorizamos la expresión simplificada \(5a + 5b\). El factor común en ambos términos es \(5\), por lo que podemos escribir: \[ 5a + 5b = 5(a + b) \]

Respuesta Final

El factor común de la expresión original es: \[ \boxed{5(a + b)} \]

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