We must determine if the following expression is a difference of two squares:
[tex]9x^2-25.[/tex]
The expression is a binomial because it has two terms.
We rewrite the binomial as:
[tex]\left(3x\right)^2-5^2=\lparen3x-5)\left(3x+5\right?.[/tex]
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).
