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A student wrote \((x+5)^2\) as \(x^2+25\). What is the error in this expansion?एक विद्यार्थी ने \((x+5)^2\) को \(x^2+25\) लिखा। उसकी त्रुटि क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: The middle term \(2\times x\times 5=10x\) has been omitted.वह \(2\times x\times 5=10x\) वाला मध्य पद भूल गया।
Using \((a+b)^2=a^2+2ab+b^2\), put \(a=x\) and \(b=5\) to get \(x^2+10x+25\). Thus, the \(10x\) middle term is missing. Exam tip: always check the \(2ab\) term.पहचान \((a+b)^2=a^2+2ab+b^2\) में \(a=x\) और \(b=5\) रखने पर \(x^2+10x+25\) मिलता है। अतः \(10x\) मध्य पद छूटा है। परीक्षा में \(2ab\) पद अवश्य जाँचें।
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