Pregunta
\( \frac{\text { Question } 3}{\text { Factorise completely } x a-x b+3 a-3 b} \)
Ask by Bartlett Brewer. in Singapore
Feb 09,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The expression \( xa - xb + 3a - 3b \) can be factored as \( (a - b)(x + 3) \).
Solución
To factorise the expression xa – xb + 3a – 3b, start by grouping terms with common factors:
1. Group the first two and the last two terms:
xa – xb + 3a – 3b = (xa – xb) + (3a – 3b)
2. Factor out the common factors in each group:
= x(a – b) + 3(a – b)
3. Notice that (a – b) is a common factor:
= (a – b)(x + 3)
Thus, the completely factorised form is (a – b)(x + 3).
Respondido por UpStudy AI y revisado por un tutor profesional
Como
error msg
Explicar 
Simplifique esta solución The Deep Dive
To factorise the expression \(x a - x b + 3 a - 3 b\) completely, we can group the terms: \[ x(a - b) + 3(a - b) \] Now, we can factor out the common term \((a - b)\): \[ (a - b)(x + 3) \] And there you have it! The expression is completely factorised as \((a - b)(x + 3)\). Another way to look at it involves understanding that factoring is essentially rewriting the expression in terms of its roots or components. This can simplify solving equations and allows you to see connections between different functions more clearly. Factoring often helps in identifying zeroes of the function, which can be particularly useful in graphing or solving polynomial equations.
¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium
