After expansion, you should get a quadratic in 'a'.[a-b]*2-a[a+4]
That is incorrect.Actually, you won't "get a quadratic in a" because there will be two "a2" terms that cancel! You will get a quadratic in b.
Expansion of the first term provides:[a-b]*2-a[a+4]
[a-b]*2-a[a+4]
No matter which way we take it, I don't see an interesting factorization. There may be another typo, or missing information that was provided in the problem. An image of the entire problem would be useful.[a-b]*2-a[a+4]