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Factorise the following using the identity a2 – b2 = (a + b)(a – b). 2p225-32q2 - Mathematics

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Question

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

`(2p^2)/25 - 32q^2`

Sum

Solution

We have,

`(2p^2)/25 - 32q^2 = 2(p^2/25 - 16q^2)`

= `2[(p/5)^2 - (4q)^2]`

= `2(p/5 + 4q)(p/5 - 4q)`

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

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