The product of binomials (x+a) and (x+b) can be found by using the distributive property.

(x+a) (x+b) = x(x+b) + a(x+b)

Now, we can simplify this expression further:

= x^2 + bx + ax + ab

= x^2 + (a+b)x + ab

So, the product of (x+a) and (x+b) is x^2 + (a+b)x + ab.