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: