Question

What is the least common multiple of x2 + 2x – 15 and 4x2 - 36?

a. (x - 3)

b. 4(x - 5)(x + 3)2 (x – 3)

c. 4(x +5)(x – 3)2 (x+3)

d. (x+3)

Answer 1

Explanation:

`{x}^(2) + 2x - 15 \\ = (x - 3)(x + 5)`

then:

`4 {x}^(2) - 36 \\ = 4( {x}^(2) - 9) \\ = 4(x - 3)(x + 3)`

then pack them up!

`4(x - 3)(x + 3)(x + 5)`

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:

`4(x + 5) {(x - 3)}^(2) (x + 3)`