Question

What is the sum of the polynomials 5 a squared b plus 2a squared b squared 5 a2b+2a2b2 and negative ab squared plus a squared b squared−ab2+a2b2​?

Answer 1

The first polynomial is
`5a^2b+2a^2b^2`

The other polynomial is
`-ab^2+a^2b^2`

Now to add polynomials we must add or subtract like terms

Adding them we have

`(5a^2b+2a^2b^2)+(-ab^2+a^2b^2)`

`5a^2b+2a^2b^2-ab^2+a^2b^2`

Here
`2a^2b^2 $ and $ a^2b^2 $ are like terms $`

So we add then

We get

`5a^2b+3a^2b^2-ab^2`

The addition of the polynomial is
`5a^2b+3a^2b^2-ab^2`