#### Simplify variable expression 2(4n + 3n^{2} + 3n + 1) by involving like terms and the distributive property.

Anonymous

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Sangeetha Pulapaka

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STEP 1: Recall what are like terms in a variable expression

http://www.math.com/school/subject2/lessons/S2U2L4DP.html

STEP 2: Recall what is the distributive property

https://www.mathwarehouse.com/dictionary/D-words/distributive-property-definition-and-examples.php

STEP 3: Simplify the expression using the distributive property

2( 4n + 3n^{2} + 3n + 1) = 8n + 6n^{2} + 6n + 2

Combine the like terms

6n^{2} + 8n + 6n + 2

6n^{2} + 14n + 2

This is the simplified variable expression.