When x − YX + y = 2, the value of the algebraic expression x − YX + y-2x + 2yx − y is______ ．

∵ x − YX + y = 2, ∵ X-Y = 2 (x + y), ∵ x − YX + y-2x + 2yx − y = 2 (x + y) x + Y-2 (x + y) 2 (x + y) = 2-1 = 1, so the answer is: 1

It is known that X1 and X2 are two of the equations x ^ 2-4x + 2 = 0, and the value of (x2-x2) ^ 2 can be obtained by Weida's theorem

X1 and X2 are two parts of the equation x ^ 2-4x + 2 = 0, then
X1 + X2 = 4
X1X2 = 2
（X2-X2)^2 = (X1 + X2)^2 - 4X1X2 = 4^2 - 4*2 = 8

When x = 2011, find the value of the algebraic formula LX + 1 − 2xx2 − 1

When x = 2011, the original formula = - 12011 − 1 = - 12010

RELATED INFORMATIONS

1. When x respectively takes the following values, find the value of the algebraic formula x2 + 2x-1 x=3 x=1/2
2. Given x2-x-1 = 0, then the value of X4 + 2x + 1 / X5 is?
3. Given x2 + X + 1 = 0, find X4 + 1 / X4
4. X4 + AX3 + x2 + BX + 1 has a factor x2-2x + 1 to find a, B and decompose the factor
5. On the number axis, the distance from point a to - 4 is equal to the distance from the point representing - 4 to the point representing - 2, then what is the rational number represented by point a?
6. What is the rational number represented by the point whose distance from the number axis to the point-1 is equal to 1? Same topic`````
7. On the number axis, if the rational number represented by point a is - 2, then the rational number represented by four points of unit length to point a is - 2
8. 1. If the rational number corresponding to the point a on the number axis is - 2.5, what is the rational number corresponding to the point 5 unit length away from the point a on the number axis?
9. When x=____ The difference between X-1 and - 2 is 0
10. The sum of all natural numbers x that make the value of the algebraic formula x2 + 11x + 1 an integer is______ ．
11. If f (1) = 3, then f (- 1) =? The question is wrong.. It should be f (x) = X3 + ax
12. Given x2 + 4x-1 = 0, find 1) the 2nd power of X + the - 2nd power of X, 2) the 4th power of X + the - 4th power of X
13. X2-4 (x-1) x2-4x-4
14. Given 1 + X + x square +... + x2004 + x2005 = 0, find the value of x2006
15. If f (x) = ax ^ 2008 + x ^ 2009 + BX ^ 2010-8 and f (1) = 10, then f (- 1)=
16. If the solution of equation a (x + C) with square + B = 0 is X1 = - 1 and X2 = 1, then the solution of equation a (x + c-2013) with square + B = 0 is X1 = - 1 and X2 = 1
17. Given n positive integers x1, X2, X3 , xn satisfies X1 + x2 + X3 + +Xn = 2008, find the maximum value of the product of these n numbers Why x1, X2, X3 In xn, there is no?
18. Let a = (x1 + x2 +... X2010) * X1 + x2 +... X2010), B = (x1 + x2 +... X2010) * (x1 + x2 +... X2010) Let a = (x1 + x2 +... X2010) * x2 + X3 +... X2011), B = (x1 + x2 +... X2011) * (x2 + X3 +... X2011) * (x1 + X3 +... X2011) * (x1 + x2... + x2010), and compare the size of a and B
19. The known function f (x) satisfies: for any real number x1, X2, when Xi
20. Known: | x1-1 | + | x2-2 | + | x3-3 | +. + | x2002-2002 | + | x2003-2003 | = 0 find: 2 ^ X-2 ^ x2-2 ^ X3 -. - 2 ^ x2002 + 2 ^ x2003 Known: | x1-1 | + | x2-2 | + | x3-3 | +. + | x2002-2002 | + | x2003-2003 | = 0 Find the value of: 2 ^ X-2 ^ x2-2 ^ X3 -. - 2 ^ x2002 + 2 ^ x2003. (Note: similar to x2003, the following 2003 should be the subscript of x)