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during the difference of two squares abbreviated dots such as x squared minus nine its almost like a trinomial where the middle term is missing theres only two parts thats why its called the difference of two squares its a polynomial with two parts such as x squared is the first part in negative nine as the second part its a difference of two squares because theres always a subtraction sign or a minus sign or a negative sign between your two terms this like the trinomial factors to the double parentheses and the best way to approach these is to think often about squares and square roots and so the first term of each binomial is the square root of the first term of your polynomial and square root of x squared is X now for the difference of two squares it works out that your two parentheses sets always have different signs one plus one minus and the square root of nine is your second term for three so your answer factors to X plus three X minus three four x squared minus y square