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Which of the following expressions can be written as the square of a difference of two terms?निम्नलिखित में से कौन-सा व्यंजक दो पदों के अंतर के वर्ग के रूप में लिखा जा सकता है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(9p^2-24pq+16q^2\)\(9p^2-24pq+16q^2\)
Here \(9p^2=(3p)^2\) and \(16q^2=(4q)^2\). The middle term is \(-24pq=-2(3p)(4q)\), so the expression is \((3p-4q)^2\). Exam tip: check the sign of the middle term carefully.\(9p^2=(3p)^2\) और \(16q^2=(4q)^2\) हैं। बीच का पद \(-24pq=-2(3p)(4q)\) है, इसलिए व्यंजक \((3p-4q)^2\) है। परीक्षा में मध्य पद का चिन्ह अवश्य जाँचें।
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