Question

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

Answer 1

Ответ:

а ≈х

b ≈y

$\frac{27 - 15x + 5 {x}^{2} - {x}^{3} }{3x + xy - 3y - {x}^{2} } = \frac{(3 - x)( {x}^{2} - 2x + 9)}{(3 - x)(x - y)} = \frac{ {x}^{2} - 2x + 9 }{x - y}$

Answer 2

To simplify the expression (27 - 15a + 5a^2 - a^3) / (3a + ab - 3b - a^2), you can start by factoring out common terms from the numerator and denominator.

The expression can be rewritten as follows:

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

Now, let's factor out common terms from both the numerator and denominator:

Numerator: 27 - 15a + 5a^2 - a^3 can be rearranged as -(a^3) + 5a^2 - 15a + 27.

Denominator: 3a + ab - 3b - a^2 can be rearranged as (3a - a^2) + (ab - 3b).

Now, the expression becomes:

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

Next, factor out common terms from each part of the denominator:

(1) Factor out a from the first part of the denominator:

(3a - a^2) = a(3 - a).

(2) Factor out 3 from the second part of the denominator:

(ab - 3b) = b(a - 3).

Now, the expression becomes:

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

You can also factor out a negative sign from the numerator to make it look cleaner:

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

Now, the expression is fully factored.

Keep in mind that this expression may have common factors that can be canceled out, but I cannot simplify it further without knowing specific values for 'a' and 'b.' If you have specific values for those variables, you can substitute them in to obtain a numerical result.