simplify
2a^2 + 6ab^2-12a^2b^3 divided by 24ab
-2a^2/-24ab + 6ab^2/24ab--12a^2b^3/24ab=
-12ab^2 +12a +4b
-2a^2 / 24ab is not -12ab
It is -a/12b
because you have -(2a)(a) / (2a)(12b)
and the 2a's cancel
6ab^2/24ab = (6ab)(b) / (6ab)(4) = b/4
12a^2b^3 / 24ab = (12ab)(ab^2) / (12ab)(2) = ab^2/2
Looks like you have some serious practice ahead. You can enter your expressions in wolframalpha.com to check your answers.
Be sure to watch how it interprets your input, and use extra parentheses as needed!
To simplify the expression (2a^2 + 6ab^2 - 12a^2b^3) divided by (24ab), you can start by factoring out the common term from each term in the numerator and canceling out common factors between the numerator and denominator.
The factor that is common in each term in the numerator is 2a, so you can factor it out:
(2a^2 + 6ab^2 - 12a^2b^3) divided by (24ab)
= (2a(a + 3b^2 - 6ab^3)) divided by (24ab)
Next, you can simplify the expression by canceling out common factors between the numerator and denominator. In this case, you can cancel out 2, a, and b:
= (a + 3b^2 - 6ab^3) divided by (12)
So, the simplified expression becomes:
(a + 3b^2 - 6ab^3) divided by 12