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Przykłady
1. (11+4)² = 121 + 88 + 16 = 225
2. (3+9)² = 9 + 54 + 81 = 144
3. (√3 + √5)² = 3 + 2√15 + 5 = 8 + 2√15
4. (6 + 6√5)² = 36 + 72√5 + 180 = 216 + 72√5
5. (√18 + 1)² = 18 + 2√18 + 1 = 19 + 2√18
6. (1/2 + 1/4)² = 1/4 + 1/4 + 1/16 = 9/16
7. (1/2 +√3)² = 1/4 + √3 + 3 = 13/4 + √3
(a-b)² = a² - 2ab + b²
Przykłady:
1. (11-4)² = 121 - 88 + 16 = 49
2. (3-9)² = 9 - 54 + 81 = 36
3. (√3 - √5)² = 3 - 2√15 + 5 = 8 - 2√15
4. (6-6√5)² = 36 - 72√5 + 180 = 216 - 72√5
5. (√18-1)² = 18 - 2√18 + 1 = 19 - 2√18
6. (1/2 - 1/4)² = 1/4 - 1/4 + 1/16 = 1/16
7. (1/2 - √3)² = 1/4 - √3 + 3 = 13/4 - √3
a² - b² = (a-b)(a+b)
1. (3-2)(3+2) = 9 - 4 = 5
2. (18+4)(18-4) = 324 - 16 = 308
3. (√3 + 2)(√3 - 2) = 3 - 4 = -1
4. (√8-√3)(√8+√3) = 8 - 3 = 5
5. (1/2 + 1/4)(1/2 - 1/4) = 1/4 - 1/16 = 3/16
6. (1/2 + √5)(1/2 - √5) = 1/4 - 5 = -4 3/4
7. (12 - 1/2)(12 + 1/2) = 144 - 1/4 = 143 3/4