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Factorise the following using the identity a2 – b2 = (a + b)(a – b). y3-y9

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Question

Factorise the following using the identity a2 – b2 = (a + b)(a – b).

`y^3 - y/9`

Sum
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Solution

We have,

`y^3 - y/9 = y(y^2 - 1/9)`

= `y[y^2 - (1/3)^2]`

= `y(y + 1/3)(y - 1/3)`

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Chapter 7: Algebraic Expression, Identities and Factorisation - Exercise [Page 235]

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NCERT Exemplar Mathematics Exemplar [English] Class 8
Chapter 7 Algebraic Expression, Identities and Factorisation
Exercise | Q 92. (xi) | Page 235
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