Trinomial squares are also known as perfect square trinomials, and are the squares of binomial expressions. What if the squared binomial is a — b a — b? When it is multiplied using FOIL, a 2 is a perfect square, and so is b 2. The sign of 2ab is negative, because it is the sum of two negative products.

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In mathematics , the difference of two squares is a squared multiplied by itself number subtracted from another squared number. Every difference of squares may be factored according to the identity. The proof of the factorization identity is straightforward.

When you learn to factor quadratics , there are three other formulas that they usually introduce at the same time. The first is the "difference of squares" formula. Remember from your translation skills that a "difference" means a "subtraction". So a difference of squares is something that looks like x 2 — 4.

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