# Expanding Binomials - MBF3C Quadratics II Date Expanding...

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MBF3C – Quadratics II Date: _________________________ Expanding Binomials TERMINILOGYPolynomial – an algebraic expression made up of terms that are addedand subtracted. Term – the product of a numerical coefficient and one or more variables. Monomial – a polynomial with oneterm. Binomial – a polynomial with twoterms. Trinomial – a polynomial with threeterms. Review of ExpandingExpanding - the process of multiplying terms together and collecting like termsto simplify. Distributive Property – multiply the terms i.e. a ( b + c ) = ab + acExample: Simplify the following. 1. 2. =12x – 13x + 3y + 5y place like terms together = -x+ 8y add / subtract like terms = (3x+ 4y) – 1(5x– 6y) negative sign is a negative 1= (3x+ 4y) – 5x+ 6ydistributive property= 3x+ 4y– 5x+ 6yremove brackets= -2x+ 10y collect like terms MULTIPLYING BINOMIALSDistributive property O F F first term O outside terms I inside terms L last terms Examples 1.(x+ 2) (x+ 4) x2 + 4x+ 2x+ 8 x2+ 6x+ 8 2.(x– 2) (x+ 4) x2+ 4x– 2x– 8 x2+ 2x– 8 3.(x– 2)( x