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Preview questions
1. What is the general term in the expansion of (a + b)^n?
nCk * a^(n-k) * b^k · n! / (k! * (n-k)!) · a^k * b^(n-k) · nCk * a^k * b^(n-k)
2. In the expansion of (x + y)^7, what is the coefficient of x^3y^4?
35 · 21 · 7 · 14
3. Which of the following is true for the expansion of (1 + x)^n?
It contains only even powers of x. · It contains only odd powers of x. · The coefficients are binomial coefficients. · The sum of coefficients is always 1.
4. For the binomial expansion of (2x - 3)^5, what is the term containing x^2?
-90x^2 · 90x^2 · -60x^2 · 60x^2
5. What is the value of the 4th term in the expansion of (a + b)^6?
15a^3b^3 · 20a^2b^4 · 30a^4b^2 · 10a^5b
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