Video: Expanding Single Bracket Expressions

Expand −7(8 − 12𝑥).

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Video Transcript

Expand negative seven multiplied by eight minus 12𝑥.

In order to expand or multiply out a parenthesis or bracket, we need to multiply the term outside the bracket by each of the terms inside the bracket. In this case, we need to multiply negative seven by eight and negative seven by negative 12𝑥. Negative seven multiplied by eight is equal to negative 56. This means that the first term of our expansion is negative 56. Negative seven multiplied by negative 12𝑥 is 84𝑥.

Remember that when multiplying two negative terms, we get a positive answer. Therefore, our expansion is negative 56 plus 84𝑥. Negative seven multiplied by eight minus 12𝑥 is equal to negative 56 plus 84𝑥. We can use this method to expand any single bracket or parenthesis.

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