Question

Explain why the product of a difference of squares only results in a binomial rather than a trinomial.

Answer 1

Answer:

The expression has a degree of 2.

A trinomial has a degree of 3

Explanations:

Let the two numbers be represented by a and b

The difference of the two squares is written as:

`a^2-b^2^{}`

The expression can also be expressed as:

`a^2-b^2=\text{ (a - b)(a + b)}`

This is a binomial because it has its highest degree as 2.

A trinomial means that the expression will have a degree of 3, and does not represent the description here