Question

How do you recognize if a binomial is a difference of perfect squares and how is the pattern used to factor the binomial?

Answer 1

Answer:

A difference of squares has the following form $a^2-b^2$. Any two perfect squares connected by subtraction can be factored.

It factors to (a+b)(a-b).

Step-by-step explanation:

A binomial is an expression with only terms where at least one is a term with a variable. When we can factor for difference of squares, we can have two variable terms or just one with a constant.

A difference of squares has the following form $a^2-b^2$. Any two perfect squares connected by subtraction can be factored.

It factors to (a+b)(a-b).