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Which form is most useful for finding \(98^2\) using an identity?\(98^2\) को किसी identity की मदद से निकालने के लिए कौन-सा रूप सबसे उपयोगी है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(98^2=(100-2)^2\)\(98^2=(100-2)^2\)
To use an identity, rewrite \(98\) as \(100-2\) so that \(98^2=(100-2)^2\) matches the square of a difference: \( (a-b)^2=a^2-2ab+b^2 \). Then \((100-2)^2=100^2-2\cdot 100\cdot 2+2^2=10000-400+4=9604\).identity का उपयोग करने के लिए \(98\) को \(100-2\) के रूप में लिखें ताकि \(98^2=(100-2)^2\) ‘difference के वर्ग’ वाली identity से मेल खाए: \( (a-b)^2=a^2-2ab+b^2 \)। तब \((100-2)^2=100^2-2\cdot 100\cdot 2+2^2=10000-400+4=9604\)।
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