Factorization: - 4 (x-2y) 2 + 9 (x + y) 2

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• 1. Do a few questions, factoring and so on X3-9x = 16x fourth power - 1 = 2x2 + 4x + 2 = 2A - (a + b) (a-b)= 3a2b(2a－3b2)= (-1＋2a)2= (a+b)2-(a-b)2= （x-2y+4）(x-2y-4)= -a2+81= ay2-2a2y+3= 9y3-2y= Calculate the value of (2-A) (a + 2) + (- b-2) (2-B), where a = √ 2, B = 2 √ 2
• 2. Several factorization problems 1. (1) factorization n ^ 3-N (2) if n is an integer, try to explain that n ^ 3-N is a multiple of 6 (1) (19.99 + 4.99) 2-4 * 19.99 * 4.99 Urgent need before 17:00 p.m. on December 26, thank you
• 3. Several factoring problems 1.（x²+2x-3)(x²+2x-24)+90 2.x^4 -4x³+4x²-9 3.(x-1)(x-2)(x-3)(x-4)-24 I hope you can give me some advice
• 4. 1.（3x-y)^2-3x+y 2.(2a+s)^2-6(2a+s)+9 3.4(x-y)^2+4(x-y)+1 4.(4x^2+1)^2-16x^2 5.(x-y)^3+2×(y-x)^2 6.4(3a+2x)^2-9(a-x)^2 7.y-x+3(x-y)^2
• 5. Proof: when n is a positive integer, the square difference of two consecutive odd numbers must be a multiple of 8
• 6. The square of 4x - 2x + 6xy-3y The square of X - 8x + 9
• 7. Junior high school mathematics problems about factorization (× 2) 1. Evaluation: 20063 (cubic) - 10063-10003-3000 × 2006 × 1006 2. Calculation: (7 quartic + 64) (15 quartic + 64) (23 quartic + 64) (31 quartic + 64) (39 quartic + 64) / (3 quartic + 64) (11 quartic + 64) (19 quartic + 64) (27 quartic + 64) (35 quartic + 64) The first question may not be clear. It should be 2006 m3 - 1006 m3 - 1000 m3 - 3000 × 2006 × 1006 M3
• 8. [(power of x) + 5x + 2] * [(power of x) + 5x + 3] Factorization!
• 9. In the following five polynomials, which rational number range can be factorized? And write a Book factorization process (everyone hurry up! Thank you) (1)3m(m-n)+6n(n-m) (2)x(b+c-d)-y(d-b-c)-2c+2d-2b (3)2(x-2)^2+5x-17 (4)ab-a-b-a (5)x^3-3x^2+3x-1
• 10. Factorization of 2x ^ 2 + 2xy-y ^ 2
• 11. Extracting common factor and decomposing factor (x+2y)²+x+2y The polynomial A & # 178; (x-a) + a (A-X) is factorized, and the result is () A、（x-a）（a²+a） B、a（x-a）（a+1） C、a（x-a）（a-1） D、a（x+a）（a-1） 2013 times of (- 8) + 2012 times of (- 8) can be divided by () A、3 B、5 C、7 D、9 Can 23 times of 5 - 21 times of 5 be divided by 120? （a-3）²-（2a-6）
• 12. m^5－m^4＋m^3－2m^2＋2m－2
• 13. (a+b)²－9(ac+bc)+20c² (a²+5a)²+8(a²+5a)+16
• 14. It is known that the function f (x) is a monotone increasing function defined on (0, ∞), and f (XY) = f (x) + F (y) for any X and Y in the domain of definition f（3）=1. (1) Finding the value of F (1) (2) Solving inequality f (3x) + F (2x-1) ≤ 2
• 15. If f (x) is an odd function defined on R and is an increasing function in (0, + ∞), and f (2) = 0, then the solution set of the inequality XF (x) < 0 is______ ．
• 16. FX is an odd function defined on R, XF '(x) + F (x) on (- infinity, O)
• 17. Function FX = 1 / 4 ^ x + m (M > 0), when X1 + x2 = 1, FX1 + FX2 = 1 / 2, 1, find the value of M 2. The known sequence an satisfies an = F0 + F (1 / N) + F (2 / N) + +F (n-1 / N), find an 3, if Sn = a1 + A2 + a3 + +An, Sn 4 ^ x + m is the denominator x1, and X2 belongs to R
• 18. Known function FX = x ^ 2-4x + 6, x > = 0, FX = 2x + 4, X
• 19. The definition of function monotonicity is as follows: if X1 is less than x2 and FX1 is less than or equal to FX2, then the function is monotone increasing function. Why is there equal to in the definition
• 20. For the function f (x) defined on the interval D, if ∀ x1, X2 ∈ D, and X1 & lt; X2, there is & nbsp; If f (x 1) ≥ f (x 2), then f (x) is a "non increasing function" on interval D. if f (x) is a "non increasing function" on interval [0,1] and f (0) = L, f (x) + F (l-x) = L, then f (x) ≤ - 2x + 1 holds when x ∈ [0,14]. There are the following propositions: ① ∀ x ∈ [0,1], f (x) ≥ 0; ② when x1, X2 ∈ [0,1] and x1 ≠ X2, f (x 1) ≠ f (x) ③ f (18) ）+F (511) + F (713) + F (78) = 2; 4. When x ∈ [0,14], f (f (x)) ≤ f (x). Where the serial numbers of all propositions that you think are correct are______ ．