What is the coefficient of the x ^ 3 term in the (1-x + x ^ 2) (1 + x) ^ 6 expansion

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• 1. Let f (x) = (1 + x) ^ 6 (1-x) ^ 5, then what is the coefficient of x ^ 3 in F '(x)?
• 2. Find the coefficient of x ^ 5 in (1 + x-x ^ 2) ^ 6 expansion Please explain the process. Thank you The answer is 6
• 3. 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
• 4. What is the sum of the coefficients of the polynomial obtained from the square expansion of (1 + 2x-x's Square)
• 5. By expanding (1 + 2x-x2) 2, the sum of coefficients of the polynomial is______ ．
• 6. 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
• 7. 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_____
• 8. 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
• 9. In the expansion of (1 + x) + (1 + x) ^ 2 + (1 + x) ^ 3 +... + (1 + x) ^ n, the coefficient of term x ^ 4 is?
• 10. In the expansion of (1-x) ^ 5 + (1-x) ^ 6, the coefficient of the term with x ^ 3 is Why C (5,2)
• 11. Find the coefficient of the x ^ (- 3) term of (x + 1 / x) ^ 6 * (x-1) ^ 3 expansion
• 12. In the (x-1) - (x-1) ^ 2 + (x-1) ^ 3 - (x-1) ^ 4 + (x-1) ^ 5 expansion, find the coefficient of x ^ 2
• 13. 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
• 14. 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
• 15. 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)
• 16. Write a quadratic trinomial about X, and the coefficient of the quadratic term is - 1, then the quadratic trinomial is ()
• 17. Write a quadratic trinomial about x such that its quadratic coefficient is - 5, then the quadratic trinomial is______ ．
• 18. 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
• 19. 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______ ．
• 20. 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