Factorize the Following Expressions: X^3/216 - 8y^3 - Mathematics

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Factorize the following expressions:

`x^3/216 - 8y^3`

 

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Solution

`= (x/6)^3 - (2y)^3`

`= (x/6 - 2y)((x/6)^2 + x/6 xx 2y + (2y)^2)     [∵ a^3 - b^3 = (a - b)(a^2 + ab + b^2)]`

`= (x/6 - 2y)(x^2/36 + (xy)/3 + 4y^2)`

`∴ x^3/216 - 8y^3 = (x/6 - 2y)(x^2/36 + (xy)/3 + 4y^2)`

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Chapter 5: Factorisation of Algebraic Expressions - Exercise 5.2 [Page 14]

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RD Sharma Mathematics for Class 9
Chapter 5 Factorisation of Algebraic Expressions
Exercise 5.2 | Q 6 | Page 14

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