Answer: The required simplified expression in standard form is [tex]-2p^2-11p-35.[/tex]
Step-by-step explanation: We are given to simplify the following equation and write the simplified expression in standard form :
[tex]E=-2(p+4)^2-3+5p~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We will be using the following formula :
[tex](a+b)^2=a^2+2ab+b^2.[/tex]
The simplification of expression (i) is as follows :
[tex]E\\\\=-2(p+4)^2-3+5p\\\\=-2(p^2+8p+16)-3+5p\\\\=-2p^2-16p-32-3+5p\\\\=-2p^2-11p-35.[/tex]
Thus, the required simplified expression in standard form is [tex]-2p^2-11p-35.[/tex]
