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What is the perfect square form of ( 64x^2+80x+25 )?( 64x^2+80x+25 ) का पूर्ण वर्ग रूप क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \((8x+5)^2\)\((8x+5)^2\)
The first term is \(64x^2=(8x)^2\) and the last term is \(25=5^2\). Their middle term is \(2\times 8x\times 5=80x\), so \(64x^2+80x+25=(8x+5)^2\). Option B would give a middle term of \(-80x\). Exam tip: always verify the middle term using \(a^2+2ab+b^2=(a+b)^2\).पहला पद \(64x^2=(8x)^2\) और अंतिम पद \(25=5^2\) है। इनके बीच का पद \(2\times 8x\times 5=80x\) मिलता है, इसलिए \(64x^2+80x+25=(8x+5)^2\)। विकल्प B में मध्य पद \(-80x\) होता है। परीक्षा टिप: \(a^2+2ab+b^2=(a+b)^2\) से मध्य पद अवश्य जाँचें।
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