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