Answer:
Option 3rd is correct
[tex]6x^3-24x^2+9x+30[/tex]
Step-by-step explanation:
Given the expression:
[tex](3x-6)(2x^2-4x-5)[/tex]
Multiply the first term of the first expression with second expression and second term of the first expression with second expression we have;
[tex]3x(2x^2-4x-5)-6(2x^2-4x-5)[/tex]
using distributive property we have;
[tex]6x^3-12x^2-15x-12x^2+24x+30[/tex]
Combine like terms we have;
[tex]6x^3-24x^2+9x+30[/tex]
therefore, the correct simplification of the given expression is, [tex]6x^3-24x^2+9x+30[/tex]
