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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 1: Q 1.48. (page 33)

Simplify: $4 y^{2} + 5 y + 2 + 8 y^{2} + 4 y + 5$

Short Answer

Expert verified

The simplified expression is $12 y^{2} + 9 y + 7$ .

Step by step solution

01

Step 1. Given information.

The given expression is:

$4 y^{2} + 5 y + 2 + 8 y^{2} + 4 y + 5$

We have to simplify the given expression.

02

Step 2. Identify the like terms and rearrange the expression so the like terms are together.

$4 y^{2} + 5 y + 2 + 8 y^{2} + 4 y + 5$

write like terms together,

$4 y^{2} + 8 y^{2} + 5 y + 4 y + 2 + 5$

Now combine the like terms,

$12 y^{2} + 9 y + 7$

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Most popular questions from this chapter

In the following exercises, identify the coefficient of each term.

$13 m$

In the following exercises, translate the phrases into algebraic expressions.

eight times the difference of y and nine

Geoffrey has dimes and quarters in his pocket. The number of dimes is eight less than four times the number of quarters. Let q represent the number of quarters. Write an expression for the number of dimes.

In the following exercises, evaluate the following expressions.

$2 l + 2 w when l = 15, w = 12$

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