Respuesta :
Answer:
2(x-2)(x+3)(x-8)
Step-by-step explanation:
The LCM of [tex](x+3)^2(x-2)[/tex] and [tex](x+3)(x^2-16)[/tex] is x + 3
Option A is correct
The task is to find the LCM of the expressions:
[tex](x+3)^2(x-2)[/tex] and [tex](x+3)(x^2-16)[/tex]
Note that:
[tex](x^2-16)=(x-4)(x+4)[/tex]
Therefore, the expression [tex](x+3)(x^2-16)[/tex] will become:
[tex](x+3)(x-4)(x+4)[/tex]
By considering the expressions [tex](x+3)^2(x-2)[/tex] and [tex](x+3)(x^2-16)[/tex], it is observed that x + 3 is common to both expressions.
Therefore, the LCM of [tex](x+3)^2(x-2)[/tex] and [tex](x+3)(x^2-16)[/tex] is x + 3
Learn more on LCM here: https://brainly.com/question/13066728
