Question

Least common multiple for (x+3)^2(x-2) and (x+3)(x^2-16)

Answer 1

`{(x + 3)}^(2)(x - 2)(x + 4)(x - 4)`

Explanation:

`{(x + 3)}^(2) (x - 2) \: \: \: (x + 3)( {x}^(2) - 16)`

The first one can be kept in that form while the second can be factored as

`(x + 3)(x + 4)(x - 4)`

so we can see that the LCM is

`{(x + 3)}^(2)(x - 2)(x + 4)(x - 4)`