Respuesta :

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]