Answer
$-243 x^5 + 1620 x^4 - 4320 x^3 + 5760 x^2 - 3840 x + 1024$
Work Step by Step
Using the Binomial Formula, the expression $
(4-3x)^5
$ expands to
\begin{array}{l}
4^5(-3x)^0
\dfrac{5}{1!}4^4(-3x)^1+
\dfrac{5\cdot4}{2!}4^3(-3x)^2+
\dfrac{5\cdot4\cdot3}{3!}4^2(-3x)^3+
\dfrac{5\cdot4\cdot3\cdot2}{4!}4^1(-3x)^4+
\dfrac{5\cdot4\cdot3\cdot2\cdot1}{5!}4^0(-3x)^5+
\\\\=
-243 x^5 + 1620 x^4 - 4320 x^3 + 5760 x^2 - 3840 x + 1024
\end{array}
