SOLUTION: Have I simplified the below algebraic expession correctly? a^3-27/2a^3-18a Factor the expressions that are not already factored. 2a(a−3)(a+3) (a−3)(a 2 +3a+9) ​

Algebra ->  Expressions -> SOLUTION: Have I simplified the below algebraic expession correctly? a^3-27/2a^3-18a Factor the expressions that are not already factored. 2a(a−3)(a+3) (a−3)(a 2 +3a+9) ​      Log On


   

Question 1186838: Have I simplified the below algebraic expession correctly?
a^3-27/2a^3-18a

Factor the expressions that are not already factored.
2a(a−3)(a+3)
(a−3)(a
2
+3a+9)
​

Cancel out a−3 in both numerator and denominator.
2a(a+3)
a
2
+3a+9
​

Expand the expression with answer of:
a^2+3a+9/2a^2+6a
​
Thank you
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
yes, you got it right
I suggest you to write it this way:

%28a%5E3-27%29%2F%282a%5E3-18a%29

%28a%5E3-3%5E3%29%2F%282a%28a%5E2-9%29%29

%28%28a+-+3%29+%28a%5E2+%2B+3+a+%2B+9%29%29%2F%282a%28a-3%29%28a%2B3%29%29



%28a%5E2+%2B+3+a+%2B+9%29%2F%282a%28a%2B3%29%29