Question

Simply a³ - 27 / a - 3 (a² - 3a + 9 )

Answer 1

Answer:

I can't understand that question

Answer 2

Given,

The given algebraic expression is :

$\frac{ {a}^{3} - 27 }{(a - 3)( {a}^{2} - 3a + 9) }$

To find,

Simplification of the given algebraic expression.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

Here, we have to use the algebraic factorization formula, to perform the simplification.

So,

The simplification will be :

$= \frac{ {a}^{3} - 27 }{(a - 3)( {a}^{2} - 3a + 9) }$

$= \frac{ {a}^{3} - 27 }{(a - 3)( {a}^{2} - 3a + 9) }$

$= \frac{ ({a})^{3} - ({3})^{3} }{(a - 3)( {a}^{2} - 3a + 9) }$

Now, applying the formula of (a)³-(b)³ = (a-b) (a²+ab+b²)

$= \frac{ (a - 3)({a}^{2} + 3a + 9) }{(a - 3)( {a}^{2} - 3a + 9) }$

$= \frac{ {a}^{2} + 3a + 9 }{ {a}^{2} - 3a + 9}$

(This cannot be further simplified. That's why this will be considered as the final result.)

Hence, the answer to simplification is $\frac{ {a}^{2} + 3a + 9 }{ {a}^{2} - 3a + 9}$