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Find the Cube of : 3a- 2b - Mathematics

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Question

Find the cube of : 3a- 2b

Sum

Solution

( a - b )3 = a3 - 3ab( a - b ) - b3
( 3a - 2b )3 = (3a)3 - 3 x 3a x 2b( 3a - 2b) - (2b)3
                  = 27a3 - 18ab( 3a - 2b ) - 8b3
                  = 27a3 - 54a2b + 36ab2 - 8b3

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Chapter 4: Expansions (Including Substitution) - Exercise 4 (B) [Page 60]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 4 Expansions (Including Substitution)
Exercise 4 (B) | Q 1.1 | Page 60
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