Answer:
(x + 2)²(x - 1)
Step-by-step explanation:
Factorise the denominators of both fractions
x² + 4x + 4 ← is a perfect square = (x + 2)²
x² + x - 2 = (x + 2)(x - 1)
The fractions can be expressed as
[tex]\frac{x(x-1)}{(x+2)^2(x-1)}[/tex] and [tex]\frac{2(x+2)}{(x+2)^2(x-1)}[/tex]
least common multiple is (x + 2)²(x - 1)
