Video: Simplifying Algebraic Expressions

Simplify 6(5๐‘งยฒ + 2) โˆ’ 2(๐‘ง โˆ’ 4).

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Video Transcript

Simplify six multiplied by five ๐‘ง squared plus two minus two multiplied by ๐‘ง minus four.

In order to simplify this expression, we are going to expand or multiply out the parentheses using the distributive property. Six multiplied by five ๐‘ง squared is equal to 30 ๐‘ง squared. Six multiplied by two is 12.

Expanding the second bracket or parenthesis gives us negative two ๐‘ง plus eight as negative two multiplied by ๐‘ง is negative two ๐‘ง and negative two multiplied by negative four is positive eight.

Grouping the like terms, positive 12 plus eight gives us positive 20. This means that the simplified version of six multiplied by five ๐‘ง squared plus two minus two multiplied by ๐‘ง minus four is 30 ๐‘ง squared minus two ๐‘ง plus 20.

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