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Which term contains (yz) in ( (x+2y+5z)^2 )?( (x+2y+5z)^2 ) में (yz) वाला पद कौन-सा होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(20yz\)\(20yz\)
Using \((a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ca\), the term containing \(yz\) comes from \(2(2y)(5z)\). Thus, \(2\times2\times5\,yz=20yz\), so \(20yz\) is correct. \(10yz\) results from forgetting the factor \(2\) in the cross-product term. Exam tip: while squaring three terms, multiply every product of two unlike terms by \(2\).\((a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ca\) में \(yz\) वाला पद \(2(2y)(5z)\) से मिलेगा। अतः \(2\times2\times5\,yz=20yz\), इसलिए सही उत्तर \(20yz\) है। \(10yz\) में दोहरे गुणन का गुणांक \(2\) छूट जाता है। परीक्षा टिप: तीन पदों के वर्ग में प्रत्येक दो अलग-अलग पदों के गुणन को \(2\) से गुणा करें।
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