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Simplify ( (7m+3n)(7m-3n) ).( (7m+3n)(7m-3n) ) को सरल कीजिए।
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(49m^2-9n^2\)\(49m^2-9n^2\)
The expression uses the identity \((a+b)(a-b)=a^2-b^2\), with \(a=7m\) and \(b=3n\). Therefore, \((7m+3n)(7m-3n)=(7m)^2-(3n)^2=49m^2-9n^2\). Option D resembles the expansion of \((a-b)^2\), but this expression is a product of conjugate binomials. Exam tip: in \((a+b)(a-b)\), the middle terms always cancel.यह व्यंजक पहचान \((a+b)(a-b)=a^2-b^2\) के रूप में है, जहाँ \(a=7m\) और \(b=3n\) हैं। अतः \((7m+3n)(7m-3n)=(7m)^2-(3n)^2=49m^2-9n^2\)। विकल्प D, \((a-b)^2\) का विस्तार जैसा है, जबकि यहाँ दो संयुग्म द्विपदों का गुणन है। परीक्षा टिप: \((a+b)(a-b)\) में मध्य पद हमेशा कट जाता है।
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