Answer:
\(-3x^3(-2x^2+4x-3)\) simplifies to \(6x^5-12x^4+9x^3\)
Step-by-step explanation:
Given expression \(-3x^3(-2x^2+4x-3)\)
We have to simplify the above expression,
Consider the given expression \(-3x^3(-2x^2+4x-3)\)
Multiply each term in brackets by \(-3x^3\), we get,
\(-3x^3(-2x^2+4x-3)=-3x^3(-2x^2)-3x^3(4x)[-3x^3(-3)\)
Solving further, using \(x^n\cdot x^m=x^{n+m}\) we get,
\(-3x^3(-2x^2)-3x^3(4x)[-3x^3(-3)=6x^5-12x^4+9x^3\)
Thus, \(-3x^3(-2x^2+4x-3)\) simplifies to \(6x^5-12x^4+9x^3\)
