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Question
Expand (48)3
Sum
Solution
(48)3 = (50 – 2)3
Comparing (50 – 2)3 with (a – b)3 we have a = 50 and b = 2
(a – b)3 = a3 – 3a2b + 3ab2 – b3
(50 – 2)3 = (50)3 – 3(50)2(2) + 3(50)(2)2 – 23
= 1,25,000 – 15000 + 600 – 8
= 1,10,000 + 592
= 1,10,592
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Chapter 3: Algebra - Exercise 3.3 [Page 91]