MathsFreePrintable
Expanding Double Brackets Worksheet
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1. Expand and simplify: (x + 3)(x + 4)
2. Expand: (x − 5)(x + 2)
3. Expand: (2x + 3)(x − 1)
4. Expand and simplify: (x + 2)(x + 2)
5. Expand and simplify: (3x + 2)(2x − 1)
6. Expand: (x + 4)(x − 4). What special pattern is this?
8. The expanded form is x² + 5x − 14. Write two binomials that multiply to this expression.
9. Expand: (4x − 3)(x + 2)
10. Expand and simplify: (2x − 5)(3x + 1)
11. Expand: (x − 7)(x + 7)
12. Applied: The area of a rectangular garden is (x + 6)(x − 2) square metres. Expand to find the area in standard form.
Extension (Advanced learners)
E1. Expand the general product (ax + b)(cx + d). Identify the coefficient of x², x and the constant term.
E2. Challenge: Expand and simplify (x + 1)(x + 2)(x + 3). Show each step.
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