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Which of the following polynomials can be factorised as the square of a binomial?निम्नलिखित में से कौन-सा बहुपद किसी द्विपद के वर्ग के रूप में गुणनखंडित किया जा सकता है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(9p^2-24pq+16q^2\)\(9p^2-24pq+16q^2\)
\(9p^2=(3p)^2\) and \(16q^2=(4q)^2\), while the middle term is \(-2(3p)(4q)=-24pq\). Hence it is \((3p-4q)^2\). In exams, always match the sign of the middle term.\(9p^2=(3p)^2\) और \(16q^2=(4q)^2\) हैं तथा मध्य पद \(-2(3p)(4q)=-24pq\) है। अतः यह \((3p-4q)^2\) है। परीक्षा में मध्य पद का चिन्ह अवश्य मिलाएँ।
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