-12X^6+24x^5-18x^2/-6x^2=2x^4+24x^3-3x

could some one check this for me please

You can check yourself by multiplying -6x^2(2x^4+24x^3-3x)

-12x^6+24x^5-18x^2=2x^4+4x^3+3x

could some one tell me if the answer is right. Please help I am not good with sign confused.

To simplify the given expression:

First, factor out the greatest common factor from each term in the numerator, which is 6x^2:

(6x^2*(-2x^4 + 4x^3 - 3)) / (-6x^2)

Next, cancel out the common factor of -6x^2:

-2x^4 + 4x^3 - 3

So, the simplified expression is -2x^4 + 4x^3 - 3.

Please note that this is not an equation, but rather an expression that has been simplified.