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Which of the following trinomials is a perfect square trinomial?निम्नलिखित में से कौन-सा त्रिपद एक पूर्ण वर्ग त्रिपद है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(x^2+10x+25\)\(x^2+10x+25\)
\(x^2+10x+25=x^2+2\cdot x\cdot5+5^2=(x+5)^2\), so it is a perfect square trinomial. In option B, the constant term would need to be \(25\), not \(20\). Exam tip: compare the middle term with \(2ab\).\(x^2+10x+25=x^2+2\cdot x\cdot5+5^2=(x+5)^2\), इसलिए यह पूर्ण वर्ग त्रिपद है। विकल्प B में स्थिर पद \(25\) होना चाहिए, \(20\) नहीं। परीक्षा टिप: मध्य पद को \(2ab\) से मिलाइए।
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