Factorization of mathematical problems （a+1）×（a+2)×（a+3)×（a+4）+1

Original formula = [(a + 1) (a + 4)] [(a + 2) (a + 3)] + 1
=[(a²+5a)+4][(a²+5a)+6]+1
=(a²+5a)²+10(a²+5a)+24+1
=(a²+5a)²+10(a²+5a)+25
=(a²+5a+5)²

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1. Calculation: 39 × 37-13 × 34=______ ．
2. What is the solution of X & # 178; - 3x + 18 = 0,
3. It is known that the set a = {x | X & # 178; + 3x-18 > 0}, B = {x | X & # 178; - (2k + 1) x + K (K + 1) ≤ 0, And a ∩ B ≠ &;, then the value range of real number k is——
4. (3x²-2x-1)÷（x-1)=（
5. (- 4x) (2x & # 178; + 3x-1) to specific process
6. Find the maximum value of the following format: (1) y = 2x & # 178; + 8x + 9 (2) y = - 2x & # 178; + 3x + 7
7. 1.x²+4/3x+______ =(x+____ )² 2. Given (A & # 178; + B & # 178;), # 178; - (A & # 178; + B & # 178;) - 6 = 0, then a & # 178; + B & # 178=____ 3. The equations are solved by formula method and collocation method: 2x & # 178; - 3x = 2, 2x-y & # 178; + 6y-11 = 0, x-2y-1 = 0
8. (3x-1)²=4(x+1)²
9. It is known that (M & # 178; - 1) x & # 178; - MX + 8 = 0 is a one variable linear equation about X. find the value of formula 199 (M + x) (x-2m) + 22m
10. If you answer well, add it again! Use the equation! (it's better to use the equation of one variable once) According to statistics, from October 11, 2008 to February 28, 2009, the total daily average passenger volume of ground bus and rail transit was 16.96 million person times, and the daily average passenger volume of ground bus was 4 times less than that of rail transit by 690000 person times, The average daily passenger volume of ground bus and rail transit, how many million people do you have? The basic price of household electricity in a city is 0.4 yuan per kilowatt hour. If the monthly electricity consumption exceeds a kilowatt hour, 70% of the basic electricity price will be charged (1) A household uses 84 degrees of electricity in May and pays 30.72 yuan in total. How much is a? (2) If the average electricity charge in June is 0.36 yuan per kilowatt hour, how many kilowatt hours does the household share in June and how much electricity charge should be paid?
11. Seeking three eight mathematical problems urgently
12. Factorization problem 3x ^ 4 + 6x ^ 2-9
13. Quick answer in 5 minutes` x@-3x-4 = (x-4)(x+1) The above factor is determined by x@-3x-4 How to evolve into (x-4) (x + 1) and what formula to use in it`` …… [@ for square]
14. ① 16m ^ - n ^ 4 ② 16 (a-b) & # - 178; - 9 (a + b) & # - 178; ③ x ^ 5y-xy ④ 2012 & # - 178; - 2011 & # - 178; ⑤ 429 & # - 178; × 2-171 & # - 178; × 2 ⑥ 1000 & # / 252 & # - 178; - 248 & # - 178; ⑦ (50 and 1 / 11) & # - 178; - (49 and 10 / 11) & # - 178;
15. Who can work out some factorization problems in grade one of junior high school
16. Several factorization problems in grade one of junior high school 1.（x-y)²+4xy 2.(x-1)(x-2)-2(2-x)² 3.(a²+ab+b²)²-9a²b²
17. 1. Factorization: (2 times of X + 2x) (2 times of X + 2x-2) - 3 2. If a and B are integers, and the degree 2-x-1 of X is a factor of the degree 3 of AX + the degree 2 + 1 of BX, find the value of B 3. Find the minimum value of the second power of 4x - x + 3 Quick return,
18. There are questions about factorization in grade one of junior high school （1）a²+（2b-3）a+b²-3b+2 (2) 9 to the power of N - 3 to the power of (n + 2) - 10 Like [the fourth power of X - 3 times the square of X + 1] （1）a²+（2b-3）× a+b²-3b+2
19. Known: x square - x = 1, y square - y = 1 and X ≠ y, find x square + 2XY + y square Find the digital value of x square + 2XY + y square
20. (1) The square of X - some square - x + 1 / 4 (2) The fourth power of X is the square of - 2x and the square of Y + 1 (3) Square of (x + y) - 4 (x + Y-1) (4) The square of 4x - the square of 6xy + 9y (5) The square of X + the square of 2XY + - y