Podcast
Questions and Answers
What is the rule for expanding single brackets?
What is the rule for expanding single brackets?
Multiply the term outside the brackets by each term inside the brackets and combine like terms
What is the first step in factoring single brackets?
What is the first step in factoring single brackets?
Find the greatest common factor (GCF) of the terms inside the brackets
What is the reverse process of expanding single brackets?
What is the reverse process of expanding single brackets?
Factoring single brackets
What do we do with each term inside the brackets after finding the GCF?
What do we do with each term inside the brackets after finding the GCF?
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What is the purpose of combining like terms in expanding single brackets?
What is the purpose of combining like terms in expanding single brackets?
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Expanding single brackets involves multiplying the single term outside the ______ by each term inside the bracket.
Expanding single brackets involves multiplying the single term outside the ______ by each term inside the bracket.
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When expanding single brackets, the sign of the term inside the bracket is ______.
When expanding single brackets, the sign of the term inside the bracket is ______.
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The ______ is the largest term that divides all the terms in the expression.
The ______ is the largest term that divides all the terms in the expression.
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When factoring single brackets, look for the ______ of the terms and express it as a single bracket.
When factoring single brackets, look for the ______ of the terms and express it as a single bracket.
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Simplify the expression by combining like terms before attempting to ______.
Simplify the expression by combining like terms before attempting to ______.
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Study Notes
Expanding Single Brackets
Expanding single brackets involves multiplying the single term outside the brackets by each term inside the brackets.
Rule:
- Multiply the term outside the brackets by each term inside the brackets
- Combine like terms
Examples:
- Expand: 2(x + 3)
- 2x + 6
- Expand: 3(2y - 1)
- 6y - 3
Factoring Single Brackets
Factoring single brackets involves finding the greatest common factor (GCF) of the terms inside the brackets and writing it as a single term outside the brackets.
Rule:
- Find the GCF of the terms inside the brackets
- Write the GCF as a single term outside the brackets
- Divide each term inside the brackets by the GCF
Examples:
- Factor: 2x + 6
- 2(x + 3)
- Factor: 6y - 3
- 3(2y - 1)
Note: Factoring single brackets is the reverse process of expanding single brackets.
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Description
Test your understanding of expanding and factoring single brackets in algebra, including multiplying terms and finding the greatest common factor. Practice with examples and rules to master this concept.
