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A student writes \((2x-5)^2\) as \(4x^2-25\). Which term has been omitted from the expansion?एक विद्यार्थी ने \((2x-5)^2\) को \(4x^2-25\) लिखा है। उसके विस्तार में कौन-सा पद छूट गया है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(-20x\)\(-20x\)
Using \((a-b)^2=a^2-2ab+b^2\), take \(a=2x\) and \(b=5\). The middle term is \(-2\times2x\times5=-20x\). Writing only the squared terms is incorrect. Exam tip: always check the middle term and its sign.पहचान \((a-b)^2=a^2-2ab+b^2\) में \(a=2x\), \(b=5\) रखें। मध्य पद \(-2\times2x\times5=-20x\) होगा। केवल वर्गों का अंतर लिखना गलत है। परीक्षा में मध्य पद का चिन्ह अवश्य जाँचें।
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