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Which of the following expressions is a perfect-square trinomial?निम्नलिखित में से कौन-सा व्यंजक 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. Option D is also a square but represents \((x-5)^2\); use the sign of the middle term as an exam check.\(x^2+10x+25=x^2+2\cdot x\cdot5+5^2=(x+5)^2\), इसलिए यह पूर्ण वर्ग त्रिपद है। विकल्प D भी पूर्ण वर्ग है, पर वह \((x-5)^2\) के रूप में है; दिए गए मध्य पद का चिन्ह पहचानें।
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