(27-15a+5a^2-a^3)/(3a+ab-3b-a^2)

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вопрос

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).