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Question
Expand (97xy)3
Sum
Solution
(97xy)3 = 973x3y3
= (100 – 3)x3y3 ...(1)
Comparing (100 – 3)3 with (a – b)3 we have a = 100 and b = 3
(a – b)3 = a3 – 3a2b + 3ab2 – b3
(100 – 3)3 = (100)3 – 3(100)2(3) + 3(100)(3)2 – 33
973 = 10,00,000 – 90000 + 2700 – 27
973 = 910000 + 2673
973 = 912673
97x3y3 = 912673x3y3
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