Question

Simplify. 9-x2/9x+27

Answer 1

Answer:

(3-x)/9

Step-by-step explanation:

(9-x^2)

---------------

9x+27

Factor the numerator and denominator

(3-x)  (3+x)

----------------

9(x+3)

Rewriting the denominator as 3+x

(3-x)  (3+x)

----------------

9(3+x)

Canceling 3+x from the numerator and denominator

(3-x)  

----------------

9

Answer 2

ANSWER

$\frac{3 - x}{9}$

EXPLANATION

The given expression is

$\frac{9 - {x}^{2} }{9x + 27}$

We rewrite as a difference of two squares to get,

$= \frac{ {3}^{2} - {x}^{2} }{9x + 27}$

Recall that,

$a^2-b^2=(a - b)(a+ b)$

We factor to obtain,

$= \frac{(3 - x)(3 + x)}{9(x + 3)}$

We now cancel out the common factors to get,

$= \frac{3 - x}{9}$