Question: 1. Expand (x + 2y) 2 2. Expand (2a 1) 2 3. Expand and simplify (2m + 3n) 2 (5m 7n) 2
1. Expand (x + 2y)2
2. Expand (2a − 1)2
3. Expand and simplify (2m + 3n)2 − (5m − 7n)2
4. Evaluate (√3 + √5)(√3 − √5) without using a calculator
5. Simplify (√a − √b)(√a + √b)
6. Express as a single term 4x2 + 20x + 25
7. Express as a single term x2 − 6x + 9
8. Use Result 1 to calculate 1212
9. Use the difference of two squares to calculate 132 − 72
10. Show that ab = 1/4 {(a + b)2 − (a − b)2}
11. Use the formula of Question 10 to evaluate 75 × 25 (without using a calculator)
12. Expand (x + 2y + 1)2
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