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Which of the following is the correct expansion of \( (2p-5q)^2 \)?निम्नलिखित में से \( (2p-5q)^2 \) का सही विस्तार कौन-सा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(4p^2-20pq+25q^2\)\(4p^2-20pq+25q^2\)
Use \((a-b)^2=a^2-2ab+b^2\). Here \(a=2p\) and \(b=5q\). So \((2p-5q)^2=(2p)^2-2(2p)(5q)+(5q)^2=4p^2-20pq+25q^2\).\((a-b)^2=a^2-2ab+b^2\) का प्रयोग करें। यहाँ \(a=2p\) और \(b=5q\) है। अतः \((2p-5q)^2=(2p)^2-2(2p)(5q)+(5q)^2=4p^2-20pq+25q^2\)।
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