Step-by-step explanation:
[tex] {x}^{2} + 2x - 15 \\ = (x - 3)(x + 5)[/tex]
then:
[tex]4 {x}^{2} - 36 \\ = 4( {x}^{2} - 9) \\ = 4(x - 3)(x + 3)[/tex]
then pack them up!
[tex]4(x - 3)(x + 3)(x + 5)[/tex]
tho there is a problem in your question.
lcm means the least common multiple.
answers in options are just multiples.
though considering that you shall choose:
[tex]4(x + 5) {(x - 3)}^{2} (x + 3)[/tex]
