i need help understanding rational expressions

Question

Reduce the rational expression to lowest terms. If it is already in lowest terms, enter the expression in the answer box. Also, specify any restrictions on the variable.

 

3y²−27/(3)

 

Rational expression in lowest terms:
Variable restrictions for the original expression: y≠

 

im so confused

Answer 1

A rational expression is nothing more than a fraction in which the numerator and/or the denominator are polynomials.

 

Is this grouped like:
(3y² - 27)/3  ??
 
If so then you factor a 3 out of each
term in the numerator giving:
 
3(y² -9)/3 = y²-9 = (y-3)(y+3)
No restrictions on the variable
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If this is, as posted, 3y2 - 27/3 then you have
3y² - 27/3 = 3y² - 9 = 3(y²-3)
No restrictions on the variable