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

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 $(p + 4)^2=p^{2}+8p + 16$. Then $-2(p + 4)^2=-2(p^{2}+8p + 16)=-2p^{2}-16p-32$.

Step2: Combine like - terms

The original expression is $-2(p + 4)^2-3 + 5p$. Substitute the expanded form: $-2p^{2}-16p-32-3 + 5p$. Combine the $p$ - terms $-16p+5p=-11p$ and the constant terms $-32-3=-35$. So the simplified expression is $-2p^{2}-11p-35$.

Answer:

A. $-2p^{2}-11p - 35$