Question

Can you help me with this please!?

Answer 1

9514 1404 393

Answer:

  (a)  2021

Step-by-step explanation:

The expression can be simplified.

  $\displaystyle\frac{a^4+b^4+2a^2b^2+a^3b+ab^3}{a^2+b^2}+ab=\frac{(a^2+b^2)^2+ab(a^2+b^2)}{a^2+b^2}+ab\\\\=a^2+b^2+ab+ab=(a+b)^2\\\\=(\sqrt{2021})^2=\boxed{2021}$