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Which of the following trinomials can be written as the square of the difference of two binomials?निम्नलिखित में से कौन-सा त्रिपद दो द्विपदों के अंतर के वर्ग के रूप में लिखा जा सकता है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(9a^2-24ab+16b^2\)\(9a^2-24ab+16b^2\)
\((3a-4b)^2=9a^2-2(3a)(4b)+16b^2=9a^2-24ab+16b^2\), so A is a perfect-square trinomial. In B, the last term should be \(16b^2\). Exam tip: verify the middle term as \(-2xy\).\((3a-4b)^2=9a^2-2(3a)(4b)+16b^2=9a^2-24ab+16b^2\), इसलिए A पूर्ण वर्ग त्रिपद है। B में अंतिम पद \(16b^2\) होना चाहिए। परीक्षा टिप: मध्य पद \(-2xy\) जाँचें।
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