Answer:
Part A) Option B. [tex]-4n^{3}+24n^{2}-12n[/tex]
Part B) Option A. [tex]4n^{4}-24n^{3}+12n^{2}[/tex]
Step-by-step explanation:
Part A) we have
[tex](n^{2}-6n+3)(-4n)[/tex]
the product is equal to
[tex]=(n^{2})(-4n)-6n(-4n)+3(-4n)\\=-4n^{3}+24n^{2}-12n[/tex]
Part B) When this product is multiplied by -n, the result is
we have
[tex](-4n^{3}+24n^{2}-12n)(-n)[/tex]
[tex]=(-4n^{3})(-n)+24n^{2}(-n)-12n(-n)\\=4n^{4}-24n^{3}+12n^{2}[/tex]