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Riya expanded \( (x+4)^2 \) as \(x^2+16\). Which term is missing from her expansion?रिया ने \( (x+4)^2 \) का प्रसार \(x^2+16\) लिखा है। उसके प्रसार में कौन-सा पद छूट गया है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(8x\)\(8x\)
\((x+4)^2=x^2+2\cdot x\cdot4+4^2=x^2+8x+16\), so the missing term is \(8x\). \(4x\) misses the factor 2 in the middle term. Exam tip: always check the \(2ab\) term in \((a+b)^2\).\((x+4)^2=x^2+2\cdot x\cdot4+4^2=x^2+8x+16\)। इसलिए \(8x\) पद छूटा है। \(4x\) में 2 का गुणनफल शामिल नहीं है। परीक्षा में \((a+b)^2\) में मध्य पद \(2ab\) अवश्य जाँचें।
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