   Chapter 1.4, Problem 14PS

Chapter
Section
Textbook Problem

Simplify the algebraic expressions in Problems 1-14 by com-bining similar terms. (Objective 1) 8 x y 2 − 5 x 2 y + 2 x y 2 + 7 x 2 y

To determine

To simplify:

The algebraic expression 8xy25x2y+2xy2+7x2y by combining similar terms.

Explanation

Given:

The algebraic expression is 8xy25x2y+2xy2+7x2y.

Approach:

1. The terms in an algebraic expression which have the same variables or literal factors are called similar or like terms.

2. Group the like terms and add or subtract them

Calculation:

The algebraic expression is 8xy25x2y+2xy2+7x2y.

Since 8xy2,2xy2 and 5x2y,7x2y are like terms

8xy25x2y+2xy2+7x2y=8xy2+2xy2

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