Answer:
1/4(x - 2)(x + 1)(2x + 3).
Step-by-step explanation:
1/2(x^2 - 4)(x + 1) - 1/4(x - 2)(x + 1)
= 1/2 (x - 2)(x + 2)(x + 1) - 1/4(x - 2)(x + 1)
We can take out the common factor 1/4(x - 2)(x + 1):-
= 1/4(x - 2)(x + 1)( 2(x + 2) - 1)
= 1/4(x - 2)(x + 1)(2x + 3).
