We must determine if the following expression is a difference of two squares:
![9x^2-25.](https://img.qammunity.org/2023/formulas/mathematics/college/p0r844ofle6syn2z7ec75fg1ygka4n2kaa.png)
The expression is a binomial because it has two terms.
We rewrite the binomial as:
![\left(3x\right)^2-5^2=\lparen3x-5)\left(3x+5\right?.](https://img.qammunity.org/2023/formulas/mathematics/college/g7qaxw0vbux58l3j3dukiyew5veykdgyyw.png)
As we can see from the expression above, the binomial is the difference of two squares and the factors are (3x - 5) and (3x + 5).
Answer
• The binomial is the difference of two squares.
,
• The factors are (3x - 5) and (3x + 5).