Question

How do you find the LCM of `(x-1)(x+2)` and `(x-1)(x+3)`?

Answer 1

The LCM is `(x-1)(x+2)(x+3)`

Explanation:

Remember that you can find the LCM between two expressions by multiplying them, and then dividing it with their GCF.

`(x-1)(x+2)(x-1)(x+3)` is the product

Now, it is important to see that `(x-1)(x+2)` and `(x-1)(x+3)` share `(x-1)` as their greatest common factor.

Therefore, we divide `(x-1)(x+2)(x-1)(x+3)` by `(x-1)`. `((x-1)(x+2)(x-1)(x+3))/((x-1))=(x-1)(x+2)(x+3)`