Expanding brackets is a fundamental algebra skill that lets you...
Maths411 views·Updated 2 Aug 2026·2 pagesMaster Expanding Brackets with These Practice Problems
issy@issy.studies
1
of 2
Expanding Double Brackets
When you see two brackets next to each other like x+2$$x+5, you need to multiply every term in the first bracket by every term in the second bracket. This gives you four multiplications to do.
Let's break down the pattern: multiply the first terms, then the outer terms, then the inner terms, and finally the last terms. For x+2$$x+5, you get x×x + x×5 + 2×x + 2×5 = x² + 5x + 2x + 10.
The final step is collecting like terms - add together any terms that are the same. So x² + 5x + 2x + 10 becomes x² + 7x + 10.
Top Tip: Remember FOIL - First, Outer, Inner, Last - to help you remember which terms to multiply together!
2
of 2
Expanding Triple Brackets
Triple brackets like x+2$$x+5$$x+3 might look scary, but they're just double brackets done twice. Start by expanding any two brackets first, then multiply your result by the third bracket.
First, expand two of the brackets: x+5$$x+3 = x² + 3x + 5x + 15 = x² + 8x + 15. Now you've got x+2$$x² + 8x + 15 to work with.
For the final step, multiply by each term in . This gives you x³ + 8x² + 15x + 2x² + 16x + 30. Collect like terms to get x³ + 10x² + 31x + 30.
Remember: Take your time with triple brackets - rushing leads to silly mistakes with the signs and collecting like terms!
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Maths411 views·Updated 2 Aug 2026·2 pagesMaster Expanding Brackets with These Practice Problems
issy@issy.studies
Expanding brackets is a fundamental algebra skill that lets you multiply expressions and simplify them into standard form. Once you get the hang of the pattern, it becomes quite straightforward!
1
of 2
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Expanding Double Brackets
When you see two brackets next to each other like x+2$$x+5, you need to multiply every term in the first bracket by every term in the second bracket. This gives you four multiplications to do.
Let's break down the pattern: multiply the first terms, then the outer terms, then the inner terms, and finally the last terms. For x+2$$x+5, you get x×x + x×5 + 2×x + 2×5 = x² + 5x + 2x + 10.
The final step is collecting like terms - add together any terms that are the same. So x² + 5x + 2x + 10 becomes x² + 7x + 10.
Top Tip: Remember FOIL - First, Outer, Inner, Last - to help you remember which terms to multiply together!
2
of 2Sign up to see the content. It's free!
- Access to all documents
- Improve your grades
- Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Expanding Triple Brackets
Triple brackets like x+2$$x+5$$x+3 might look scary, but they're just double brackets done twice. Start by expanding any two brackets first, then multiply your result by the third bracket.
First, expand two of the brackets: x+5$$x+3 = x² + 3x + 5x + 15 = x² + 8x + 15. Now you've got x+2$$x² + 8x + 15 to work with.
For the final step, multiply by each term in . This gives you x³ + 8x² + 15x + 2x² + 16x + 30. Collect like terms to get x³ + 10x² + 31x + 30.
Remember: Take your time with triple brackets - rushing leads to silly mistakes with the signs and collecting like terms!
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