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Which of the following trinomials is a perfect square of the difference of two binomials?निम्नलिखित में से कौन-सा त्रिपद दो द्विपदों के अंतर का पूर्ण वर्ग है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(9p^2-24pq+16q^2\)\(9p^2-24pq+16q^2\)
\(9p^2-24pq+16q^2=(3p)^2-2(3p)(4q)+(4q)^2=(3p-4q)^2\), so A is a perfect-square trinomial. In B, the last term is not \((4q)^2\). Exam tip: match the middle term with \(-2ab\).\(9p^2-24pq+16q^2=(3p)^2-2(3p)(4q)+(4q)^2=(3p-4q)^2\)। अतः A पूर्ण वर्ग है। B में अंतिम पद \((4q)^2\) नहीं है। परीक्षा टिप: मध्य पद को \(-2ab\) से मिलाइए।
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