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Find the value of 198×198-102×10296 - Mathematics

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Question

Find the value of `(198 xx 198 - 102 xx 102)/96`

Sum
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Solution

We have,

`(198 xx 198 - 102 xx 102)/96`

= `((198)^2 - (102)^2)/96`

= `((198 + 102)(198 - 102))/96`  ...[Using the identity, a2 – b2 = (a – b)(a + b)]

= `(300 xx 96)/96`  

= 300

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Chapter 7: Algebraic Expression, Identities and Factorisation - Exercise [Page 238]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 7 Algebraic Expression, Identities and Factorisation
Exercise | Q 120. (ii) | Page 238
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