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Which of the following binomials is a factor of \(x^3+8y^3\)?निम्नलिखित में से कौन-सा द्विपद \(x^3+8y^3\) का एक गुणनखंड है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(x+2y\)\(x+2y\)
Use \(a^3+b^3=(a+b)(a^2-ab+b^2)\). Here, \(a=x\) and \(b=2y\), so \(x+2y\) is a factor. \(x-2y\) is associated with a difference of cubes. Exam tip: identify the cube bases first.घनों के योग की पहचान \(a^3+b^3=(a+b)(a^2-ab+b^2)\) लगाएँ। यहाँ \(a=x\) और \(b=2y\) है, इसलिए \(x+2y\) गुणनखंड है। \(x-2y\) घनों के अंतर में आता है। परीक्षा में पहले दोनों घनों का आधार पहचानें।
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