   Chapter A.2, Problem 5E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

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 + 1 ) + 3 ( x + 2 ) (HINT: Multiply before adding.)

To determine

To simplify:

2(x+1)+3(x+2)

Explanation

Forms of the Distributive Axiom:

The Distributive Axiom distributes multiplication over addition:

a(b+c)=ab+acab+ac=a(b+c)

The Distributive Axiom distributes multiplication over subtraction:

a(bc)=abacabac=a(bc)

Calculation:

Given: 2(x+1)+3(x+2)

Now we have to simplify by combining similar terms.

By expanding the two brackets, we have to multiply every element of them by the number standing before the brackets.

Applythedistributivelaw:a(b+c)=ab+ac

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