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Expanding Two Brackets Worksheet
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Expanding Two Brackets Worksheet
📚 Part 1: Multiple Choice (choose the correct expansion)
1. Expand (x + 3)(x + 2)
x² + 6x + 5
x² + 5x + 6
x² + 1x + 6
2. Expand (2x + 1)(x − 4)
2x² − 7x − 4
2x² − 9x − 4
2x² + 3x − 4
3. Expand (x − 5)(x − 5)
x² − 10x + 25
x² − 25
x² + 25
4. Expand (3x + 2)(2x + 5)
6x² + 11x + 10
6x² + 19x + 10
5x² + 16x + 10
✏️ Part 2: Expand and Simplify (show working)
5. Expand and simplify: (x + 4)(x − 7)
6. Expand and simplify: (3x − 2)(x + 5)
7. Expand and simplify: (2x + 3)(x − 3)
8. Expand and simplify: (4x − 1)(x + 6)
🧠 Extension (Advanced learners)
9. Expand completely, then solve for x: (x + 3)(x − 1) − (x − 2)(x + 5) = 0
10. Challenge: For which value of k does (x + 2)(x + k) have a middle term 14x? Show your reasoning.
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