Chapter A.2, Problem 1E

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

# In Exercises 1 to 6, simplify by combining similar terms. ( 2 x + 3 ) + ( 3 x + 5 )

To determine

To simplify:

(2x+3)+(3x+5)

Explanation

Forms of the Distributive Axiom:

The Distributive Axiom distributes multiplication over addition:

a(b+c)=aâ‹…b+aâ‹…caâ‹…b+aâ‹…c=a(b+c)

The Distributive Axiom distributes multiplication over subtraction:

a(bâˆ’c)=aâ‹…bâˆ’aâ‹…caâ‹…bâˆ’aâ‹…c=a(bâˆ’c)

Calculation:

Given: (2x+3)+(3x+5)

Now we have to simplify by combining similar terms.

(2x+3)+(3x+5)=2x+3+3x+5NowÂ combineÂ likeÂ terms=(2

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