( (1+x)5(1+x)7 ) में \(x^8\) का गुणांक कितना है?
What is the coefficient of \(x^8\) in ( (1+x)5(1+x)7 )?
Explanation opens after your attempt
Correct Answer
D. (495)
Concept
The product is ( (1+x)^{12} ), so the coefficient is \( \binom{12}{8}=495 \). In binomial products, combine powers first.
Why this answer is correct
The correct answer is D. (495). The product is ( (1+x)^{12} ), so the coefficient is \( \binom{12}{8}=495 \). In binomial products, combine powers first.
Exam Tip
गुणनफल ( (1+x)^{12} ) है, इसलिए गुणांक \( \binom{12}{8}=495 \)। द्विपद गुणन में घातें जोड़कर सरल करें।
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