Question

write the coefficient of

-ab+2a2b2+5​

Answer 1

Step-by-step explanation:

Find the minimum value (integer) of a2+b2+5−ab−2a−2b.

I believe the answer is 1, I got this from trial-and-error.

=a2+b2−ab−2(a+b)+5=(a+b)2−2(a+b)−3ab+5

=(a+b)(a+b−2)−3ab+5.

Doesnt work.

=(a−b)2+ab+−2(a+b)+5.

Doesnt work either.

a2+b2+5−ab−2a−2b≥6−20a4b4−−−−−−−√6

But that will lead to the imaginary realm. (Is there a way using AM-GM?)

Is there an algebraic solution

Answer 2

Step-by-step explanation:

The answer in this application ⤴️.