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Question
Expand (52)3
Sum
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Solution
(52)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 = 503 + 3(50)2(2) + 3(50)(2)2 + 23
523 = 1,25,000 + 6(2,500) + 150(4) + 8
= 1,25,000 + 15,000 + 600 + 8
523 = 1,40,608
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Chapter 3: Algebra - Exercise 3.3 [Page 91]
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