GIVE AN EXAMPLE OF THE SUM OF 2 BINOMIALS THAT IS A BINOMIAL
Sure! To find an example of the sum of two binomials that is also a binomial, we need to add two binomials and simplify the result to see if it fits the binomial form.
Let's consider the expressions (3x + 2y) and (-2x + 5y) as our two binomials. To find their sum, we add the like terms:
(3x + 2y) + (-2x + 5y) = 3x - 2x + 2y + 5y
Simplifying further, we combine the like terms:
= (3x - 2x) + (2y + 5y) = x + 7y
Now, we have the simplified form of the sum. By examining the expression x + 7y, we can see that it fits the binomial form because it consists of two terms with a plus sign between them. Therefore, (x + 7y) is an example of the sum of two binomials that is also a binomial.