Addition of unlike algebraic terms

A mathematical operation of adding two or more unlike algebraic terms to obtain sum of them is called the addition of unlike algebraic terms.

Introduction

Two or more unlike algebraic terms are often involved in addition in algebra. So, it is essential to learn the mathematical procedure to perform addition of two or more unlike algebraic terms mathematically.

The unlike algebraic terms have different literal factors. Hence, it is not possible to combine the terms as an algebraic term but the summation of them can be represented in the form an algebraic expression.

Example

$3x$ and $5y$ are two unlike algebraic terms.

$x$ is the literal factor of the term $3x$ and $y$ is the literal factor of $3y$. The literal factors of both terms are different. Hence, the unlike algebraic terms cannot be combined as an algebraic term but the summation of them is represented in the form an expression by displaying a plus between every two unlike algebraic terms.

Therefore, the sum of the unlike terms $3x$ and $5y$ is represented by $3x+5y$

More Examples

Look at the following examples to learn how to add two or more unlike algebraic terms in mathematics.

$(1)\,\,\,\,\,\,$ $3a+4b+5c$

$(2)\,\,\,\,\,\,$ $4x^2y+7xy^2$

$(3)\,\,\,\,\,\,$ $4cd^2e^3+4c^2de^3+4c^2d^3e+4c^2d^2e^3$

$(4)\,\,\,\,\,\,$ $g+2fg+3efg$

$(5)\,\,\,\,\,\,$ $4m+5m^2+6m^3+7m^4+8m^5$



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