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Write the following cube in expanded form:- [3/2x+1]^3 - Mathematics

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Write the following cube in expanded form:- `[3/2x+1]^3`

 

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Solution

`[3/2x+1]^3 = [3/2x]^3 + (1)^3 +3(3/2x)(1)(3/2x+1)`

                 `= 27/8x^3+1+9/2x(3/2x+1)`

                 `= 27/8x^3+1+27/4x^2+9/2x`

                 `= 27/8x^3+27/4x^2+9/2x+1`

 

Concept: Algebraic Identities
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APPEARS IN

NCERT Class 9 Maths
Chapter 2 Polynomials
Exercise 2.5 | Q 6.3 | Page 49

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