if a+b = 12, ab = 27 then find the values of
(i) a²+b² (ii) a² - b² (iii) a³+b³
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Answer:
i) a²+b² = 3²+9²+2×3×9
= 9+81+54
= 90+54
= 144
ii) a²-b² = 3²+9²×3²-9²
= 90×-72
= 6480
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