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Using suitable identities, evaluate the following. 104 × 97 - Mathematics

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Question

Using suitable identities, evaluate the following.

104 × 97

Sum

Solution

We have,

104 × 97 = (100 + 4)(100 – 3)

= (100)2 + (4 – 3)100 + 4 × (–3)  ...[Using the identity, (x + a)(x + b) = x2 + (a + b)x + ab]

= 10000 + 100 – 12

= 10088

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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. (x) | Page 233

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