Answer:
[tex]9x^{2} - 25[/tex] = (3x -5)(3x+5)
Step-by-step explanation:
Here, the given expression is [tex]9x^{2} - 25[/tex]
Now, we know that [tex]9 = 3^{2} , 25 = 5^{2}[/tex]
So, the given expression is transformed in to
[tex]9x^{2} - 25[/tex] = [tex](3x)^{2} - 5^{2}[/tex]
Also, by ALGEBRAIC IDENTITY
[tex]a^{2} - b^{2} = (a-b)(a+b)[/tex]
Similarly here taking : a = 3x and b =5
[tex](3x)^{2} - 5^{2}[/tex] = (3x -5)(3x+5)
