This means to multiply the term outside the parentheses by each term inside the parentheses. So, x(y + z) = xy + xz. What Does it Mean to Simplify an Expression? What is an algebraic expression in mathematics? An algebraic expression is a math sentence that can contain one or more: ...
It provides the means to eliminate the parentheses and simplify the expression. Remember the general definition of the distributive property, a (b+c) = ab + ac, and use this to simplify algebraic expressions. Here are a few examples. Example 1 Consider this expression: {eq}8\ (5n\ +\ ...
Take the common term out: {eq}=(5+7-4)x {/eq} {eq}= (8)x {/eq} Remove the parentheses: {eq}=... Learn more about this topic: Mathematical Expression | Definition, Operations & Examples from Chapter 7/ Lesson 14 358K What is an expression in math? Learn the definition of an...
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The distributive property states that the product of an expression and a sum is equal to the sum of the products of the expression and each term in the sum. Example: 2 ( 5 + 3) = (2 x 5) + ( 2 x 3)2(8) = 10 + 616 = 16 The Distributive Property and Algebraic Expressions ...
althoughanyoftheother coefficientscouldbezero(i.e.,theircorrespondingtermscouldbe“missing”). a n x n istheleadingterm. a 0 istheconstantterm.Itcanbethoughtofas a 0 x 0 ,where x 0 =1. •Becausenisanonnegativeinteger,alloftheexponentsonxindicatedabove mustbenonnegativeintegers,aswell.Each...
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Then we could define 7 parameter arrays such that bkp[k] and slp[k] are the kth breakpoint and slope values, respectively: param npce integer > 1; param bkp {1..npce-1}; param slp {1..npce}; Our expression for a piecewise-linear term having these breakpoints and slopes is as ...