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Which of the following quadratic expressions is the product of two identical linear factors?निम्नलिखित में से कौन-सा द्विघात व्यंजक दो समान रैखिक गुणकों का गुणनफल है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(x^2+6x+9\)\(x^2+6x+9\)
\(x^2+6x+9=x^2+2\cdot x\cdot3+3^2=(x+3)^2\), so both linear factors are identical. In contrast, \(x^2+6x+8=(x+2)(x+4)\) has different factors. Exam tip: compare the middle term with \(2ab\).\(x^2+6x+9=x^2+2\cdot x\cdot3+3^2=(x+3)^2\), इसलिए इसके दोनों रैखिक गुणक समान हैं। \(x^2+6x+8=(x+2)(x+4)\) में गुणक अलग हैं। परीक्षा में मध्य पद को \(2ab\) से मिलाइए।
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