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

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

 

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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

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