Answer:
The simplified form of the provided expression is \(8x^{5} - 6x^{4} + 12x^{3}\)
Step-by-step explanation:
Consider the provided expression.
\(2x^2(4x^3 - 3x^2 + 6x)\)
Use the distributive property:
\(a(b+c)=ab+ac\)
By using the above property we can simplify it as shown:
\(2x^2(4x^3 - 3x^2 + 6x)\)
\(8x^{(2+3)} - 6x^{(2+2)} + 12x^{(2+1)}\)
\(8x^{5} - 6x^{4} + 12x^{3}\)
Thus, the simplified form of the provided expression is \(8x^{5} - 6x^{4} + 12x^{3}\)
