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
I am thinking it is
- 1
___
a + 6
but I am not for sure.
Ahh lol never mind, I finally figured it out.. Thanks for the help though:)
To simplify the expression, let's start by simplifying the numerator and denominator separately, and then divide them.
Numerator:
a + 9(3a - 18)
= a + 27a - 162 (Distributive property)
= 28a - 162 (Combine like terms)
Denominator:
36 - a^2(3a + 27)
= 36 - 3a^3 - 27a^2 (Distributive property)
= -3a^3 - 27a^2 + 36 (Rearrange terms)
Now we can divide the numerator by the denominator:
(28a - 162) / (-3a^3 - 27a^2 + 36)
To check for any common factors that we can cancel, let's factorize the numerator and denominator:
Numerator: 28a - 162
= 2(14a - 81)
Denominator: -3a^3 - 27a^2 + 36
= -3(a^3 + 9a^2 - 12)
Now, we can further simplify:
(2(14a - 81)) / (-3(a^3 + 9a^2 - 12))
= (2(14a - 81)) / (-3(a^2 + 12)(a - 1))
So, the simplified expression is:
2(14a - 81)
____________
-3(a^2 + 12)(a - 1)
None of the given answer choices match the simplified expression, so none of them seem to be correct in this case. It's important to carefully check each option and evaluate if it matches the simplified expression.