The simplified rational expression is (y - 3)/(y + 3). Where y ≠ -3.
<h3>How to simplify a rational expression?</h3>
A rational expression is in the p/q form. Where p and q are polynomial functions.
To simplify this rational equation,
- Factorize the polynomials in both numerator and denomiantor.
- Cancel out common factors if any.
- If the denominator and the numerator have no common factors except 1, then that is said to be the simplest form of the given rational expression.
<h3>Calculation:</h3>
The given rational equation is

Factorizing the expression in the numerator:
y² - 12y + 27 = y² - 9y - 3y + 27
⇒ y(y - 9) - 3(y - 9)
⇒ (y - 3)(y - 9)
Factorizing the expression in the denominator:
y² - 6y - 27 = y² - 9y + 3y - 27
⇒ y(y - 9) + 3(y - 9)
⇒ (y + 3)(y - 9)
Since they have (y - 9) as the common factor, we can simplify,

⇒ (y - 3)/(y + 3) where y ≠ -3(denomiantor)
Here there are no more common factors except 1; this is the simplest form of the given rational expression. 
Learn more about simplifying rational expressions here:
brainly.com/question/1928496
#SPJ9
 
        
             
        
        
        
Answer:
x = -33
Step-by-step explanation:
2/3(x+6)=-18 
Multiply each side by 3/2
3/2*2/3(x+6)=-18*3/2
 x+6 = -27
Subtract 6 from each side
x +6-6 = -27-6
x = -33
 
        
             
        
        
        
Answer:
-20c^3
Step-by-step explanation:
((−5c)(d−4))((2cd2)2)
=
−20c3d4
/d4
=-20c^3
 
        
             
        
        
        
301 meters
Since 2cm=5m you would have to divide 120.4 by 2 to get 60.2 and times it by 5 to get 301
        
                    
             
        
        
        
Answer:
a) 1 / 10
b) $15/10 = $1.50
Step-by-step explanation: