## What is the square of a binomial pattern?

Definition of a Perfect Square Binomial A perfect square binomial is a trinomial that when factored gives you the square of a binomial. For example, the trinomial x^2 + 2xy + y^2 is a perfect square binomial because it factors to (x + y)^2.

**What is the result of a square binomial called?**

When a binomial is squared, the resulting trinomial is called a perfect square trinomial.

### How many terms are there in the square of a binomial?

two terms

A binomial has two terms.

**When you multiply a binomial by itself you are squaring A?**

While the distributive property can be used for all polynomial multiplication, some products with binomials can be found using short cuts. These methods are sometimes called special products. The area of this square is (x + 3)(x + 3) or (x + 3)2….Square of a Binomial Sum.

x + | 3 | |
---|---|---|

x + | x2 | 3x |

3 | 3x | 9 |

## How do you square a binomial difference?

This is called the binomial square. It is stated as: the square of the difference of two binomials (two unlike terms) is the square of the first term plus the second term minus twice the product of the first and the second term.

**How does square of the sum of a binomial differ from the square of the difference of a binomial?**

This pattern will hold true for the square of the sum of any two terms: Square the first term, add twice the product of the first and the last term, add the last term squared. To square a binomial, do the following: Square the first term….Square of a Binomial Sum.

x + | 3 | |
---|---|---|

3 | 3x | 9 |

### What did you do to find the first term of the square of a binomial?

To square a binomial, write out the multiplication and use the FOIL method to add the sums of the first, outer, inner and last terms. The result is the square of the binomial.

**What is the formula for the square of a binomial?**

square the first term

## What is an example of a square of a binomial?

The square of every binomial has that form: a2 + 2 ab + b2. To recognize that is to know an essential product in the “multiplication table” of algebra. (See Lesson 8 of Arithmetic: How to square a number mentally, particularly the square of 24, which is the “binomial” 20 + 4.) Example 1. Square the binomial ( x + 6). x2 is the square of x.

**How to factor perfect square trinomials?**

Check whether the first and last terms of the trinomial are perfect squares.

### What is the formula for binomial squared?

The square of the first term of the binomial: a2