A mathematical operation of adding two or more algebraic expressions is called the addition of algebraic expressions. It is also called as the summation of the algebraic expressions.
Two or more algebraic expressions are often involved in addition to find the sum of them. In algebra, the addition of algebraic expressions is performed by displaying a plus sign between every two algebraic expressions. Then, the like algebraic terms of them are added to get the summation of the algebraic expressions.
Write all algebraic expressions in a row by displaying a plus sign between every two expressions.
$(-17x^2-2xy+23y^2)$ $+$ $(-9y^2+15x^2+7xy)$ $+$ $(13x^2+3y^2-4xy)$
$= \,\,\,$ $-17x^2-2xy+23y^2$ $-9y^2+15x^2+7xy$ $+$ $13x^2+3y^2-4xy$
Write the like algebraic terms of all expressions closer.
$= \,\,\,$ $-17x^2$ $+$ $15x^2$ $+$ $13x^2$ $+$ $23y^2$ $-$ $9y^2$ $+$ $3y^2$ $-$ $2xy$ $+$ $7xy$ $-$ $4xy$
$= \,\,\,$ $(-17x^2+15x^2+13x^2)$ $+$ $(23y^2-9y^2+3y^2)$ $+$ $(-2xy+7xy-4xy)$
$= \,\,\,$ $(-2x^2+13x^2)$ $+$ $(14y^2+3y^2)$ $+$ $(5xy-4xy)$
$= \,\,\,$ $11x^2+17y^2+xy$
The summation is a trinomial and its unlike algebraic terms cannot be added. Therefore, the sum of the algebraic expressions is simply represented by their simplified algebraic expression. Thus, the algebraic expressions are added in algebra.
The math problems with solutions to learn how to solve a problem.
The math worksheets with answers for your practice with examples.
The math videos tutorials with visual graphics to learn every concept.
Get the latest math updates from the Math Doubts by subscribing us.
Copyright © 2012 - 2023 Math Doubts, All Rights Reserved