Answer :

The expression, for example, x²- 49 may be factored as (x+7)(x-7).  can be factored in using the difference of squares identity.

What is the "Difference of Squares" identity?

The difference of the square's identity is shown below:

(a+b)(a-b) = a² -b²

When an expression can be seen as the difference of two perfect squares, i.e. a² -b², we can factor it as (a+b) (a-b).

For example, x²- 49 may be factored as (x+7)(x-7).

This approach is based on the pattern (a+b)(a-b) = a² -b², which may be validated by extending the parenthesis in (a+b)(a-b).

Thus, the expression, for example, x²- 49 may be factored as (x+7)(x-7).  can be factored in using the difference of squares identity.

Learn more about the Difference of Squares identities here:

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