Video: Simplifying Algebraic Expressions

Simplify 6(3𝑏 + 2) + 4(2𝑏 + 4).

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Video Transcript

Simplify six multiplied by three 𝑏 plus two plus four multiplied by two 𝑏 plus four.

Our first step is to expand or multiply out the parentheses or brackets. Six multiplied by three 𝑏 is 18𝑏 and six multiplied by two is equal to 12. Likewise, expanding the second bracket four multiplied by two 𝑏 is eight 𝑏 and four multiplied by four is equal to 16.

At this stage, we need to group or collect the like terms. 18𝑏 plus eight 𝑏 is equal to 26𝑏. Likewise, 12 plus 16 is equal to 28. This means that our simplified expression is 26𝑏 plus 28.

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