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**Square of a binomial**: the result of a binomial function multiplied by itself: (a + b)^{2 }= (a + b)(a + b) = a^{2 }+ 2ab + b^{2}

**Binomial**: a function with two terms in it

**Polynomial**: a function with two or more terms in it

**FOIL**: the acronym used for multiplying binomials... First Outside Inside Last, which means you multiply the FIRST two together, then the OUTSIDE, next the INSIDE, and lastly, the LAST (see the examples below if you need help)

square of a binomial: (a + b)^{2 }= a^{2 }+ 2ab + b^{2}

square of a binomial: (a - b)^{2 }= a^{2 }- 2ab + b^{2}

difference of 2 squares: (x + a)(x - a) = x^{2 }- a^{2}