To simplify the expression (27-15a+5a^2-a^3)/(3a+ab-3b-a^2), we can first factor out common terms:
(27-15a+5a^2-a^3)/(3a+ab-3b-a^2)= (-a^3 + 5a^2 - 15a + 27)/(a^2 - a - 3b)
Next, we can factor out the numerator to further simplify the expression:
= -(a^3 - 5a^2 + 15a - 27)/(a^2 - a - 3b)= -(a - 3)(a - 3)(a - 3)/(a - 3)(a + 2)
= -(a - 3)^2/(a - 3)(a + 2)= -(a - 3)/(a + 2)
Therefore, the simplified expression is -(a - 3)/(a + 2).
To simplify the expression (27-15a+5a^2-a^3)/(3a+ab-3b-a^2), we can first factor out common terms:
(27-15a+5a^2-a^3)/(3a+ab-3b-a^2)
= (-a^3 + 5a^2 - 15a + 27)/(a^2 - a - 3b)
Next, we can factor out the numerator to further simplify the expression:
= -(a^3 - 5a^2 + 15a - 27)/(a^2 - a - 3b)
= -(a - 3)(a - 3)(a - 3)/(a - 3)(a + 2)
= -(a - 3)^2/(a - 3)(a + 2)
= -(a - 3)/(a + 2)
Therefore, the simplified expression is -(a - 3)/(a + 2).