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

X^2√(X+Y^2)

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1. In the (x-1) - (x-1) ^ 2 + (x-1) ^ 3 - (x-1) ^ 4 + (x-1) ^ 5 expansion, find the coefficient of x ^ 2
2. Find the coefficient of the x ^ (- 3) term of (x + 1 / x) ^ 6 * (x-1) ^ 3 expansion
3. What is the coefficient of the x ^ 3 term in the (1-x + x ^ 2) (1 + x) ^ 6 expansion
4. Let f (x) = (1 + x) ^ 6 (1-x) ^ 5, then what is the coefficient of x ^ 3 in F '(x)?
5. Find the coefficient of x ^ 5 in (1 + x-x ^ 2) ^ 6 expansion Please explain the process. Thank you The answer is 6
6. 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
7. What is the sum of the coefficients of the polynomial obtained from the square expansion of (1 + 2x-x's Square)
8. By expanding (1 + 2x-x2) 2, the sum of coefficients of the polynomial is______ ．
9. 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
10. 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_____
11. 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
12. 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)
13. Write a quadratic trinomial about X, and the coefficient of the quadratic term is - 1, then the quadratic trinomial is ()
14. Write a quadratic trinomial about x such that its quadratic coefficient is - 5, then the quadratic trinomial is______ ．
15. 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
16. 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______ ．
17. 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
18. 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
19. A is a root of F (x) = x cube-3x + 10, B = (square of a + A-2) / 2H (x) is a quadratic polynomial with rational coefficient, H (b) = a, find H (0) The answer is known and understood, but one thing in the process is not very clear,
20. Let B be a root of the cubic polynomial f (x) = x3-3x + 10, and a = (B2 + b-2) / 2. If h (x) is a quadratic polynomial with rational coefficients and satisfies the condition H (a) = B, then H (b) =?