Solve by completing the square:

Question

Quizplus · Accepted Answer

To complete the square, we want to rewrite the given expression in the form $(x+a)^2+b$. We have:
$$11e^{b6}9d_a9f3f_\square af94_55199a2502ad=11\left(e^{b6}9d_a9f3f_\square af94_55199a2502ad-\left(\frac{f}{2}\right)^2\right)-\frac{11f^2}{4}$$
where we completed the square using $(x+a)^2=x^2+2ax+a^2$ and in this case $2a=f$. Now we simply compare the options given to see which one matches the expression we just derived. Only option (C) matches.

Solve by Completing the Square