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Write the Following Cube in Expanded Form:- (2a – 3b)^3 - Mathematics

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Write the following cube in expanded form:- (2a – 3b)3 

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Solution

It is known that,

(a + b)3 = a3 + b3 + 3ab(a + b)  and  (a - b)3 = a3 - b3 - 3ab(a - b)

(2a3b)3(2a)3(3b)3(3×2a×3b)(2a3b)

             = 8a327b318ab(2a3b)

             = 8a327b336a2b+54ab2

Concept: Algebraic Identities
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APPEARS IN

NCERT Class 9 Maths
Chapter 2 Polynomials
Exercise 2.5 | Q 6.2 | Page 49

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