Advertisements
Advertisements
Question
Evaluate using the formula:
483 + 6(48)2 + 12(48) + 8
Evaluate
Advertisements
Solution
483 + 6(48)2 + 12(48) + 8
This equation matches the expanded form of
a3 + 3a2b + 3ab2 + b3 = (a + b)3
Here, a = 48, b = 2
483 + 3(48)2(2) + 3(48)(2)2 + (2)3 = (48 + 2)3
483 + 6(48)2 + 12(48) + 8 = (50)3
∴ 483 + 6(48)2 + 12(48) + 8 = 125000
shaalaa.com
Is there an error in this question or solution?
Chapter 3: Expansions - EXERCISE B [Page 36]
