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सर्वसमिका का प्रयोग करके निम्न के मान ज्ञात कीजिए। 

(1) 103 × 107

(ii) 95 × 96

(iii) 104 × 96

1 Answer

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Best answer

(i) 103 × 107 = (100 + 3) × (100 + 7)

= (100)2 + (3 + 7) × 100 + 3 × 7

=10000 + 1000 + 21 = 11021

(ii) 95 × 96 = (100 – 5) × (100 – 4)

= (100)2 (5 + 4) × 100 + 5 × 4

= 10000 – 900 + 20 = 9120

(iii) 104 × 96 = (100 + 4) × (100 – 4)

= (100)2 – (4)2

= 10000 – 16 = 9984

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