Question 13:
To factor the quadratic expression [tex]\(9x^2 - 25\)[/tex], we recognize that this is a difference of squares. The difference of squares formula is given by [tex]\(a^2 - b^2 = (a - b)(a + b)\)[/tex].
In this case, we can rewrite [tex]\(9x^2\)[/tex] as [tex]\((3x)^2\)[/tex] and [tex]\(25\)[/tex] as [tex]\(5^2\)[/tex]. Therefore, applying the difference of squares formula:
[tex]\[
9x^2 - 25 = (3x)^2 - 5^2 = (3x - 5)(3x + 5)
\][/tex]
So the factored form of the quadratic expression [tex]\(9x^2 - 25\)[/tex] is:
[tex]\[
(3x - 5)(3x + 5)
\][/tex]
Thus, the correct answer is:
[tex]\[
(3x + 5)(3x - 5)
\][/tex]
Answer: (3x + 5)(3x - 5)
Question 14: [There was no specific question provided for question 14, so I cannot provide a solution.]
