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Using suitable identities, evaluate the following. 52 × 53 - Mathematics

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Question

Using suitable identities, evaluate the following.

52 × 53

Sum

Solution

We have,

52 × 53 = (50 + 2)(50 + 3)

= (50)2 + (2 + 3)50 + 2 × 3  ...[Using the identity, (x + a)(x + b) = x2 + (a + b)x + ab]

= 2500 + 250 + 6

= 2756

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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. (viii) | Page 233

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