Question $6[3$ marks$]$

$($a$)$ Expand the following expression using the binomial theorem:

$(3a^2-4b^3-2z^4{)}^4$

$($b$)$ Develop another problem $($similar to question $($a$))$ with the summation of $3$

values with different coefficients for $a^2,b^3$ and $z^4$ and with the same index of $4.$

Using a LLM or otherwise, solve the problem and calculate the mathematical

difference between both solutions.