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A student wrote \((x+5)^2\) as \(x^2+25\). Which term has been omitted from the expansion?एक विद्यार्थी ने \((x+5)^2\) को \(x^2+25\) लिखा। उसके विस्तार में कौन-सा पद छूट गया है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(10x\)\(10x\)
Using \((a+b)^2=a^2+2ab+b^2\), put \(a=x\) and \(b=5\). The middle term is \(2\times x\times5=10x\), so A is correct. \(5x\) misses the factor 2. Exam tip: always check the \(2ab\) term.पहचान \((a+b)^2=a^2+2ab+b^2\) में \(a=x\), \(b=5\) रखने पर मध्य पद \(2\times x\times5=10x\) मिलता है। इसलिए A सही है; \(5x\) में 2 का गुणक नहीं है। परीक्षा में मध्य पद \(2ab\) जाँचें।
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