Expanding Brackets

Examples, videos and solutions to help GCSE Maths students learn how to expand algebraic expression by expanding brackets.

Expanding Single Brackets
In algebra, expanding brackets means to remove the brackets.
To expand brackets, we multiply everything on the inside by whatever is next to the bracket on the outside.
Make sure you include the sign.
There are different methods we can use to expand brackets: a jumping method or by using a grid.
Example:
2(3x - 4) = 6x - 8.
-3(2a - 5b) = -6a + 15b.

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GCSE Maths - Expanding Single Brackets
Expand the following:
2(x + 1)
2(x - 1)
2(x + 2)
2(x + 3)
2(4x + 3)
3(x + 3)
3(x - 4)
-3(x - 4)
-3(4 - x)
4(2x - 1)
4(2x - 3)
9(3x + 7)
12(5x - 4)
-6(-5x + y)
x(x + 1)
x(x - 1)
x(x - 3)
x(2x - 3)
x(4x + 5)
2x(x + 7)
2x(7 + x)
2x(7 - x)

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GCSE Tutorial Expanding Double Brackets GCSE maths
Expand and simplify:

1. (x + 1)(x - 3)
2. (x + 2)(x - 4)
3. (2x + 3)(x - 7)
4. (2x + 5)(3x - 2)
5. (2x - 7)(3x + 2)
6. (3x + 4)(2x - 5)
7. (5x + 2)(7x - 3)
8. (4x + 8)(3x - 2)
9. (4x - 4)(2x + 1)
10. (3x + 2y)(2x + 3y)
11. (4x + y)(x + 3y)
12. (x - 4)(2x - 6)
13. (x + 1)²
14. (3x + 2)²
15. (5x - 2)²
16. (3x + 4)²

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Expanding Brackets & Factorising GCSE Maths
(a) Expand x(x + 2)
(b) Factorise 15x - 10
(c) Expand and simplify (x + 3)(x - 4)

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Factorise, expand brackets & simplify Algebra GCSE Maths revision Exam paper practice & help
(a) Expand 5(x + 7)
(b) Factorise 3x - 12
(c) Expand and simplify 3(5x + 12) - 4(2x - 1)

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