simplify the expression $-2(p + 4)^2 - 3 + 5p$. what is the simplified expression in standard form?\n$-2p^2…

simplify the expression $-2(p + 4)^2 - 3 + 5p$. what is the simplified expression in standard form?\n$-2p^2 - 11p - 35$\n$2p^2 + 21p + 29$\n$-2p^2 + 13p + 13$\n$4p^2 + 37p - 67$

simplify the expression $-2(p + 4)^2 - 3 + 5p$. what is the simplified expression in standard form?\n$-2p^2 - 11p - 35$\n$2p^2 + 21p + 29$\n$-2p^2 + 13p + 13$\n$4p^2 + 37p - 67$

Answer

Explanation:

Step1: Expand ((p + 4)^2)

Using the formula ((a+b)^2=a^{2}+2ab + b^{2}), where (a = p) and (b = 4), we have ((p + 4)^2=p^{2}+8p + 16).

Step2: Distribute (-2)

(-2(p^{2}+8p + 16)=-2p^{2}-16p-32).

Step3: Combine like - terms

The original expression (-2(p + 4)^2-3 + 5p) becomes (-2p^{2}-16p-32-3 + 5p). Combine the (p) terms ((-16p+5p=-11p)) and the constant terms ((-32 - 3=-35)).

Answer:

(-2p^{2}-11p - 35) (the first option)