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What is the coefficient of (x^8) in ( (1+x)^5(1+x)^7 )?( (1+x)^5(1+x)^7 ) में (x^8) का गुणांक कितना है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (495)(495)
The product is ( (1+x)^{12} ), so the coefficient is ( \binom{12}{8}=495 ). In binomial products, combine powers first.गुणनफल ( (1+x)^{12} ) है, इसलिए गुणांक ( \binom{12}{8}=495 )। द्विपद गुणन में घातें जोड़कर सरल करें।
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