## What is the product of two binomials?

The product of the sum and difference of two binomials can be expressed in algebraic terms as (a +b) (a-b). Using FOIL, the first step is a2, followed by the outside step –ba, followed by the inside step, ab, followed by the last step, b2.

### What are binomials write two examples?

A binomial is an algebraic expression that has two non-zero terms. Examples of a binomial expression: a2 + 2b is a binomial in two variables a and b. 5×3 – 9y2 is a binomial in two variables x and y.

#### What is the product of two terms?

Whichever two terms we choose, the expression for the product of the two will always end with a term in a 2. This can then be rearranged to give a as the final term. The product of the first two terms, for example, is a[(ak 2 + 3ak + a) + a].

What are examples of binomials?

A binomial is a polynomial with two terms. For example, x − 2 x-2 x−2 and x − 6 x-6 x−6 are both binomials.

What is the product of two number?

Answer: The product of two numbers is the result you get when you multiply them together. So 12 is the product of 3 and 4, 20 is the product of 4 and 5 and so on.

## What are binomials examples?

### How can we identify binomials?

A random variable is binomial if the following four conditions are met:

1. There are a fixed number of trials (n).
2. Each trial has two possible outcomes: success or failure.
3. The probability of success (call it p) is the same for each trial.

#### What is the product of X A and X B?

x + a) (x + b) = x2 + (a + b) x + ab.

Is the product of 2 binomials always a trinomial?

Up to this point, the product of two binomials has been a trinomial. This is not always the case. Multiply: (x + 2)(x − y). ( x + 2) ( x − y). Distribute. Distribute again. Simplify. There are no like terms to combine. Remember that when you multiply a binomial by a binomial you get four terms.

Is the sum of two binomials always a binomial?

The square of a binomial is always the sum of: The first term squared, 2 times the product of the first and second terms, and the second term squared.

## How many terms do binomials have?

A binomial is a polynomial with two terms What happens when we multiply a binomial by itself many times? Now take that result and multiply by a+b again: The calculations get longer and longer as we go, but there is some kind of pattern developing. That pattern is summed up by the Binomial Theorem: