Pregunta
Simplify \( 7(3 x+5)-11 x \). Enter the answer in factored form.
Ask by Fuentes Estrada. in the United States
Feb 28,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The simplified and factored form of the expression is \( 5(2x + 7) \).
Solución
To simplify the expression 7(3x + 5) − 11x, follow these steps:
1. Distribute 7 to both terms inside the parentheses:
7 × 3x + 7 × 5 = 21x + 35.
2. Rewrite the expression:
21x + 35 − 11x.
3. Combine like terms by subtracting 11x from 21x:
(21x − 11x) + 35 = 10x + 35.
4. Factor out the greatest common factor, which is 5:
10x + 35 = 5(2x + 7).
Thus, the expression in factored form is 5(2x + 7).
Respondido por UpStudy AI y revisado por un tutor profesional
Como
error msg
Explicar 
Simplifique esta solución Beyond the Answer
To simplify \( 7(3x+5)-11x \), first distribute the 7: \[ 7 \cdot 3x + 7 \cdot 5 - 11x = 21x + 35 - 11x \] Next, combine like terms: \[ (21x - 11x) + 35 = 10x + 35 \] Now, we can factor out the common factor, which is 5: \[ 10x + 35 = 5(2x + 7) \] So, the expression in factored form is: \[ 5(2x + 7) \]
¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium
