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Difference of Squares

Rule

Product of a Conjugate Pair of Binomials

When a binomial is multiplied by its conjugate, the resulting expression is the difference of two squares.

Rule

This identity can be shown using the Distributive Property — multiplying each term in the first set of parentheses with each term in the second.
Simplify
Thus, the product of a binomial and its conjugate is the difference of two squares.