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Which of the following expressions is a difference of two squares and can therefore be factorised using the identity \(a^2-b^2=(a-b)(a+b)\)?निम्नलिखित में से कौन-सा व्यंजक दो वर्गों का अंतर है और इसलिए
\(a^2-b^2=(a-b)(a+b)\) पहचान से गुणनखंडित किया जा सकता है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(49p^2-36q^2\)\(49p^2-36q^2\)
\(49p^2=(7p)^2\) and \(36q^2=(6q)^2\), with a minus sign between them. Thus A becomes \((7p-6q)(7p+6q)\). In exams, check for two perfect squares separated by subtraction.\(49p^2=(7p)^2\) और \(36q^2=(6q)^2\) हैं तथा इनके बीच ऋण चिह्न है। अतः विकल्प A, \((7p-6q)(7p+6q)\) बनेगा। परीक्षा में दोनों पद पूर्ण वर्ग और बीच का चिह्न जाँचें।
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