Answer: Square the binomial.
Step-by-step explanation:
1. The form [tex](a+b)^{2}[/tex] indicates that he must square the binomial.
2. By definition, the square of a binomial produces a trinomial, which has the following form:
[tex](a+b)^{2}=a^{2}+2ab+b^{2}\\(a-b)^{2}=a^{2}-2ab+b^{2}[/tex]
3. Then, you have:
[tex]4n-(n-3)^{2}=4n-(n^{2}-2(n)(3)+3^{2})=4n-(n^{2}-6n+9)=4n-n^{2}+6n-9=-n^{2}+10n-9[/tex]
4. Therefore, the answer is the second option.
