Respuesta :

Answer:

6(x - 3)(x + 1)

Step-by-step explanation:

Given

6(x - 3)² + 24(x - 3) ← factor out 6(x - 3) from each term

= 6(x - 3) [ x - 3 + 4 ]

= 6(x - 3)(x + 1) ← in factored form

6·(x - 3)² + 24·(x - 3)​ =

= 6·(x - 3)(x - 3) + 24·(x - 3)

= 6·(x - 3)·(x - 3 + 4)

= 6·(x - 3)·(x + 1)