Choose the correct simplification of the expression -3x^2(5x-4x^2-6)

Answer:
[tex]12x^4-15x^3+18x^2[/tex]
Step-by-step explanation:
We are given the expression: [tex]-3x^2(5x-4x^2-6)[/tex]
The first thing that can be done is to rearrange the numbers in the parenthesis so that it is in the descending exponents, so that our answer will match the options given..
When this is done, we get [tex]-3x^2(-4x^2+5x-6)[/tex]
Now, we can distribute the [tex]-3x^2[/tex] to each of the terms in the parenthesis
[tex]-3x^2(-4x^2+5x-6)\\\\12x^4-15x^3+18x^2[/tex]