The first polynomial is [tex] 5a^2b+2a^2b^2 [/tex]
The other polynomial is [tex] -ab^2+a^2b^2 [/tex]
Now to add polynomials we must add or subtract like terms
Adding them we have
[tex] (5a^2b+2a^2b^2)+(-ab^2+a^2b^2) [/tex]
[tex] 5a^2b+2a^2b^2-ab^2+a^2b^2 [/tex]
Here [tex] 2a^2b^2 $ and $ a^2b^2 $ are like terms $ [/tex]
So we add then
We get
[tex] 5a^2b+3a^2b^2-ab^2 [/tex]
The addition of the polynomial is [tex] 5a^2b+3a^2b^2-ab^2 [/tex]
