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Which of the following trinomials represents the expansion of \((x+5y)^2\)?निम्नलिखित में से कौन-सा त्रिपद \((x+5y)^2\) के प्रसार को दर्शाता है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(x^2+10xy+25y^2\)\(x^2+10xy+25y^2\)
Using \((a+b)^2=a^2+2ab+b^2\), take \(a=x\) and \(b=5y\). The middle term is \(2\times x\times5y=10xy\), and the last term is \(25y^2\). Option C represents \((x-5y)^2\). Exam tip: always check the sign of the middle term.पहचान \((a+b)^2=a^2+2ab+b^2\) में \(a=x\), \(b=5y\) रखें। मध्य पद \(2\times x\times5y=10xy\) और अंतिम पद \(25y^2\) होगा। विकल्प C, \((x-5y)^2\) से मिलता है। परीक्षा में मध्य पद का चिन्ह अवश्य जाँचें।
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