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Which of the following identities gives the correct factorised form of the sum of two cubes?निम्नलिखित में से कौन-सी सर्वसमिका दो घनों के योग का सही गुणनखंड रूप दर्शाती है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(x^3+y^3=(x+y)(x^2-xy+y^2)\)\(x^3+y^3=(x+y)(x^2-xy+y^2)\)
The sum-of-cubes identity is \(x^3+y^3=(x+y)(x^2-xy+y^2)\). Its middle term is negative; \((x-y)\) is used for the difference of cubes. Exam tip: for a sum, first look for the factor \((x+y)\).दो घनों के योग की सर्वसमिका \(x^3+y^3=(x+y)(x^2-xy+y^2)\) होती है। मध्य पद ऋणात्मक होता है; \(x^3-y^3\) में ही पहला गुणनखंड \((x-y)\) होता है। परीक्षा में ‘योग’ के लिए \((x+y)\) पहचानें।
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