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Expanding Double Brackets Practice
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Expanding Double Brackets Practice
📚 Part 1: Warm-Up Questions
Remember: (a + b)(c + d) = ac + ad + bc + bd
Method: Multiply each term in the first bracket by each term in the second bracket.
1. Expand (x + 2)(x + 3)
2. Expand (x + 1)(x + 4)
3. Expand (x + 5)(x + 2)
4. Expand (a + 3)(a + 6)
✏️ Part 2: Mixed Practice
Tip: Be careful with negative signs!
5. Expand (x + 4)(x - 2)
6. Expand (x - 1)(x + 5)
7. Expand (x - 3)(x - 4)
8. Expand (2x + 1)(x + 3)
🎯 Part 3: Challenge Questions
9. Expand (x + 7)(x - 7)
10. Expand (2x + 3)(x - 2)
11. Which of these is the correct expansion of (x + 2)(x + 5)?
x² + 7x + 10
x² + 10x + 7
x² + 5x + 2
x² + 2x + 5
12. If (x + a)(x + b) = x² + 8x + 15, find the values of a and b.
a = _______ and b = _______
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