Answer:
[tex] (3x+7)(3x-7)[/tex]
Step-by-step explanation:
Use the difference of squares identity to write this polynomial expression in factored form: [tex]9x^2-49[/tex]
Difference of square formula is
[tex]a^2-b^2=(a+b)(a-b)[/tex]
9 can be written as 3^2
49 can be written as 7^2
[tex]9x^2-49[/tex]
[tex](3x)^2-7^2[/tex]
The value of 'a' is 3x and b is 7
[tex]a^2-b^2=(a+b)(a-b)[/tex]
[tex](3x)^2-7^2=(3x+7)(3x-7)[/tex]
[tex] (3x+7)(3x-7)[/tex]