# Write the following cube in expanded form:- [x-2/3y]^3 - Mathematics

Write the following cube in expanded form:- [x-2/3y]^3

#### Solution

[x-2/3y]^3 = x^3-(2/3y)^3-3(x)(2/3y)(x-2/3y)

= x^3-8/27y^3-2xy(x-2/3y)

= x^3-8/27y^3-2x^2y+4/3xy^2

Concept: Algebraic Identities
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#### APPEARS IN

NCERT Class 9 Maths
Chapter 2 Polynomials
Exercise 2.5 | Q 6.4 | Page 49