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Evaluate the Following : (5.45)3 + (3.55)3 - Mathematics

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Question

Evaluate the following :
(5.45)3 + (3.55)3 

Sum

Solution

(5.45)3 + (3.55)3 
= (5.45 + 3.55)3 - 3(5.45)(3.55)(5.45 + 355)
= (9)3 - 3(4 + 1.45)(4 - 1.45)(9)
= 81 - 3(16 - (1.45)2)(9)
= 81 - 27(16 - 2.1025)
= 81 - 27 x 13.8975
= 81 - 522.3825
= 206.6175.

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Chapter 4: Expansions - Exercise 4.2

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Frank Mathematics [English] Class 9 ICSE
Chapter 4 Expansions
Exercise 4.2 | Q 25.2
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