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Using suitable identities, evaluate the following. (995)2 - Mathematics

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Question

Using suitable identities, evaluate the following.

(995)2 

Sum

Solution

We have,

(995)2 = (1000 – 5)2

= (1000)2 + (5)2 – 2 × 1000 × 5   ...[Using the identity, (a – b)2 = a2 + b2 – 2ab]

= 1000000 + 25 – 10000 

= 990025

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Chapter 7: Algebraic Expression, Identities and Factorisation - Exercise [Page 233]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 7 Algebraic Expression, Identities and Factorisation
Exercise | Q 86. (vi) | Page 233

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