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