Find the coefficient of the x ^ (- 3) term of (x + 1 / x) ^ 6 * (x-1) ^ 3 expansion

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1. What is the coefficient of the x ^ 3 term in the (1-x + x ^ 2) (1 + x) ^ 6 expansion
2. Let f (x) = (1 + x) ^ 6 (1-x) ^ 5, then what is the coefficient of x ^ 3 in F '(x)?
3. Find the coefficient of x ^ 5 in (1 + x-x ^ 2) ^ 6 expansion Please explain the process. Thank you The answer is 6
4. The coefficient of X in (1 + 2x) ^ 3 (1-x) ^ 4 expansion is? Don't omit the steps, but the process of solving the problem in detail
5. What is the sum of the coefficients of the polynomial obtained from the square expansion of (1 + 2x-x's Square)
6. By expanding (1 + 2x-x2) 2, the sum of coefficients of the polynomial is______ ．
7. The polynomial - 2x ^ 3-x ^ 2 + X-1 is the number of times, the number of terms, the constant term, and the coefficient of the quadratic term
8. The quadratic coefficients of equation 3x (x-1) = 2 (x + 2) + 8 are The coefficient of the first term is, and the constant term is 2) If x = - 1 / 2 is a root of the equation KX ^ 2-x-2 = 0, then K=_______ 3) If the quadratic equation of one variable x ^ 2-6x-5 = 0 is changed into the form of (x + a) ^ 2 = B, then B=_____________ 4) Write a quadratic equation of one variable with x = 3 as a root and the coefficient of quadratic term is 1_____
9. Let the sum of the coefficients of the (5x12 − x13) n expansion be m, the sum of the binomial coefficients be n, and M-N = 992, then the coefficients of the X2 & nbsp; term in the expansion are () A. 250B. -250C. 150D. -150
10. In the expansion of (1 + x) + (1 + x) ^ 2 + (1 + x) ^ 3 +... + (1 + x) ^ n, the coefficient of term x ^ 4 is?
11. In the (x-1) - (x-1) ^ 2 + (x-1) ^ 3 - (x-1) ^ 4 + (x-1) ^ 5 expansion, find the coefficient of x ^ 2
12. What is the fifth power of X + the fourth power of X and the second power of Y under the root sign urgent need But also the process
13. If we know that 3 times of X + 2 times of X + X + 1 = 0, then the value of 4 times of X + 3 times of X + 2 times of X + X + 1 is 0
14. Simplify 5 times of X + 4 times of 4x + 3 times of 6x + 2 times of 6x + 2x + 3 4 times (to the fourth power of x)
15. Write a quadratic trinomial about X, and the coefficient of the quadratic term is - 1, then the quadratic trinomial is ()
16. Write a quadratic trinomial about x such that its quadratic coefficient is - 5, then the quadratic trinomial is______ ．
17. A quartic trinomial about the letter X does not contain the cubic term and the first term. The highest coefficient is 6, the coefficient of the second term is - 1, and the constant term is 1 / 2. Write this quartic trinomial Trinomial
18. On the cubic trinomial of X, if the coefficient of the cubic is 3, the coefficient of the quadratic is - 2, and the coefficient of the primary is - 1, then the cubic trinomial is______ ．
19. On the cubic trinomial of X, if the coefficient of the cubic term is 3, the coefficient of the quadratic term is - 2, and the coefficient of the first term is - 1, then what is the cubic trinomial? Explain why
20. F (x), G (x) are integral coefficient polynomials, G (x) are primitive, f (x) = g (x) H (x), H (x) are rational coefficient polynomials. It is proved that h (x) is integral coefficient polynomials