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The two binomials can be written as (x - a)(x + a), for any constant a.

Proof:

Expand using FOIL:

(x - a)(x + a) = x2 + xa - xa - a2

Group:

(x - a)(x + a) = x2 - a2

x2 - a2 is a difference of squares. Thus, the product of (x - a) and (x + a) is a difference of squares.

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14y ago

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