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Verify the following: (7p – 13q)2 + 364pq = (7p + 13q)2 - Mathematics

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प्रश्न

Verify the following:

(7p – 13q)2 + 364pq = (7p + 13q)2

योग

उत्तर

Taking L.H.S. = (7p – 13q)2 + 364pq

= (7p)2 + (13q)2 – 2 × 7p × 13q + 364q

= (7p)2 + (13q)2 – 182pq + 364pq

= (7p)2 + (13q)2 + 182pq

= (7p)2 + (13q)2 + 2 × 7p × 13q

= (7p + 13q)2

= R.H.S.

Hence verified.

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अध्याय 7: Algebraic Expression, Identities and Factorisation - Exercise [पृष्ठ २३८]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 8
अध्याय 7 Algebraic Expression, Identities and Factorisation
Exercise | Q 113. (ix) | पृष्ठ २३८

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