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What is the simplified form of ( (2x+y)^2-(2x-y)^2 )?( (2x+y)^2-(2x-y)^2 ) का सरल रूप क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(8xy\)\(8xy\)
Use the identity \((a+b)^2-(a-b)^2=4ab\). Here, \(a=2x\) and \(b=y\), so the expression becomes \(4\times 2x\times y=8xy\). \(4xy\) is a close distractor, but it misses the factor 2 in \(a=2x\). Exam tip: recognise the \(4ab\) identity directly in such expressions.पहचान \((a+b)^2-(a-b)^2=4ab\) का प्रयोग करें। यहाँ \(a=2x\) और \(b=y\) है, इसलिए मान \(4\times 2x\times y=8xy\) होगा। \(4xy\) निकट का विकल्प है, पर उसमें \(a=2x\) का गुणनखंड 2 छूट जाता है। परीक्षा टिप: ऐसे व्यंजकों में सीधे \(4ab\) वाली पहचान पहचानें।
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