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Chapter 1: Q. 377 (page 82)

Simplify the following expression using the distributive property.

14c-1-8c-6

Short Answer

Expert verified

The expression14c-1-8c-6can be written as6c+34.

Step by step solution

01

Step 1. Given expression.

The given expression is14c-1-8c-6.

02

Step 2. Formula used.

The distributive property is shown below.

If a, b, care real numbers thenab+c=ab+ac.

03

Step 3. Apply the distributive property.

Apply the distributive property to the given expression as follows.

14c-1-8c-6=14c+14-1-8c-8-614c-1-8c-6=14c-14-8c+4814c-1-8c-6=6c+34

04

Step 4. Conclusion.

The expression 14c-1-8c-6can be simplified as 6c+34.

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