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Which of the following expressions represents the square of the sum of \(x\) and \(y\)?निम्नलिखित में से कौन-सा व्यंजक \(x\) और \(y\) के योग का वर्ग दर्शाता है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(x^2+2xy+y^2\)\(x^2+2xy+y^2\)
\((x+y)^2=(x+y)(x+y)\). On multiplying, the middle terms give \(xy+xy=2xy\), so the expression is \(x^2+2xy+y^2\). Exam tip: check the sign of the middle term carefully.\((x+y)^2=(x+y)(x+y)\) होता है। गुणा करने पर मध्य पद \(xy+xy=2xy\) मिलता है, इसलिए सही व्यंजक \(x^2+2xy+y^2\) है। परीक्षा में मध्य पद का चिन्ह अवश्य जाँचें।
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