x ^2 + 6x + 9 (x ^2 - 3x)
_____________ __________
x (x ^2 - 9)
possible answers are
1
___
x -3
x-3
x + 3
1
____
x + 3
so far i got 3x(3X-4)/X^3-9....then facotor the denominator...after that cancel out the like terms..
Simplify
I am using parenthesis to separate , if i write the whole prob as is, it runs together
a + 9 (3a - 18)
_____ ________
36 - a^2 (3a + 27)
possible answers i can choose from
1
____
a + 6
1
____
a - 6
- 1
____
a - 6
- 1
___
a + 6
To simplify the given expression, we need to simplify both the numerator and the denominator separately and then combine them.
Let's start with the numerator:
a + 9(3a - 18)
First, simplify the expression inside the parentheses:
a + 9 * 3a - 9 * 18
a + 27a - 162
Combine like terms:
28a - 162
Now, let's simplify the denominator:
36 - a^2(3a + 27)
Distribute the multiplication:
36 - 3a^3 - 27a^2
Combine like terms:
-3a^3 - 27a^2 + 36
Now we have both the simplified numerator and denominator:
Numerator: 28a - 162
Denominator: -3a^3 - 27a^2 + 36
To simplify the expression further, we can look for any common factors to cancel out. In this case, we can factor out a common factor of 2 from the numerator and the denominator:
Numerator: 2(14a - 81)
Denominator: 2(-3a^3 - 27a^2 + 18)
Now, our simplified expression becomes:
(14a - 81) / (-3a^3 - 27a^2 + 18)
Now let's check the given possible answers to see which one matches our simplified expression:
1 / (a + 6)
1 / (a - 6)
-1 / (a - 6)
-1 / (a + 6)
From our simplified expression, we see that the correct answer is:
-1 / (a - 6)