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What will be the coefficient of (x) in ( (2x-3)(2x+9) )?( (2x-3)(2x+9) ) में (x) का गुणांक क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 1212
On expanding, \((2x-3)(2x+9)=4x^2+18x-6x-27=4x^2+12x-27\). Therefore, the coefficient of \(x\) is \(12\). The value \(18\) comes from only one cross-product, \(2x\times9\); the term \((-3)\times2x=-6x\) must also be included. Exam tip: Combine all linear terms before identifying the coefficient of \(x\).गुणन करने पर \((2x-3)(2x+9)=4x^2+18x-6x-27=4x^2+12x-27\) मिलता है। अतः \(x\) का गुणांक \(12\) है। \(18\) केवल \(2x\times9\) से प्राप्त एक पद है; इसमें \((-3)\times2x=-6x\) भी जोड़ना आवश्यक है। परीक्षा टिप: रैखिक पदों को जोड़कर ही \(x\) का अंतिम गुणांक लिखें।
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