Question

Use the difference of squares identity to write this polynomial expression in factored form: 9x2 − 49.

Answer 1

`(3x+7)(3x-7)`

Explanation:

Use the difference of squares identity to write this polynomial expression in factored form:
`9x^2-49`

Difference of square formula is

`a^2-b^2=(a+b)(a-b)`

9 can be written as 3^2

49 can be written as 7^2

`9x^2-49`

`(3x)^2-7^2`

The value of 'a' is 3x and b is 7

`a^2-b^2=(a+b)(a-b)`

`(3x)^2-7^2=(3x+7)(3x-7)`

`(3x+7)(3x-7)`