No, it is not possible to add monomials and end up with a binomial.
A monomial is a mathematical expression consisting of a single term, while a binomial is a mathematical expression consisting of two terms. When we add two monomials, we get another monomial. For example, adding 2x and 3y gives us the monomial 2x+3y.
To get a binomial, we need to have two distinct terms in the expression. This can be achieved by adding or subtracting two binomials or by multiplying two binomials. For example, (x+2) + (y+3) gives us the binomial x+y+5, and (x+2)(y+3) gives us the binomial xy+3x+2y+6.
In short, adding monomials can only result in a monomial, while a binomial requires two distinct terms in the expression