GIVE AN EXAMPLE OF THE SUM OF 2 BINOMIALS THAT IS A BINOMIAL

if binomial A has the same terms as binomial B, then A+B is a binomial. So, for example

x+2 + 2x-5 = 3x-3, which is a binomial

However,

x+2 - y-7 = x-y+9, which is not a binomial.

Sure! Let's start by understanding what a binomial is. A binomial is an algebraic expression consisting of two terms connected by either addition or subtraction. It is expressed in the form of (a + b) or (a - b), where "a" and "b" are variables or constants.

Now, to find an example of the sum of two binomials resulting in a binomial, let's consider the following expression:

(2x + 3) + (-4x + 2)

In this example, we have the sum of two binomials: (2x + 3) and (-4x + 2). By adding corresponding terms, we can simplify this expression:

(2x + (-4x)) + (3 + 2)
= -2x + 5

Hence, the sum of the two binomials (2x + 3) and (-4x + 2) results in the binomial -2x + 5.