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

2 (19.99 + 4.99) 2-4 * 19.99 * 4.99a = 19.99 B = 4.99 (a + b) ^ 2-4ab = a ^ 2 + B ^ 2 + 2A

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1. 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
2. 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
3. Proof: when n is a positive integer, the square difference of two consecutive odd numbers must be a multiple of 8
4. The square of 4x - 2x + 6xy-3y The square of X - 8x + 9
5. 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
6. [(power of x) + 5x + 2] * [(power of x) + 5x + 3] Factorization!
7. 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
8. Factorization of 2x ^ 2 + 2xy-y ^ 2
9. =I want to solve some fraction problems in the second grade of junior high school ①(5mn²)^-3/（4m³n)^-2 ② (3 under 1-2 radical) ^ 0 - (2 ^ - 1) + | - 3| ③a^-2b²*(-2²b^-2)^-2/a^-4b²
10. Add appropriate formula to keep the score unchanged A-B of a + B = A & # 178; - B & # 178; + a = a + 1 of C
11. 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
12. Factorization: - 4 (x-2y) 2 + 9 (x + y) 2
13. 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）
14. m^5－m^4＋m^3－2m^2＋2m－2
15. (a+b)²－9(ac+bc)+20c² (a²+5a)²+8(a²+5a)+16
16. 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
17. 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______ ．
18. FX is an odd function defined on R, XF '(x) + F (x) on (- infinity, O)
19. 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
20. Known function FX = x ^ 2-4x + 6, x > = 0, FX = 2x + 4, X