Question

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

Answer 1

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

Step-by-step 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

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