How to solve this problem with the square difference formula 4X (the square of x-2x-1) + X (2x + 5) (5-2x), there is no rule
4x(x²-2x-1)+x(2x+5)(5-2x)
=x(4x²-8x-4+25-4x²)
=x(21-8x)
=21x-8x²
Complete solution of mathematical square difference formula
Square difference formula
a^2-b^2=(a+b)(a-b)
That is: the square difference of two numbers is equal to the product of sum and difference of two numbers
How to solve (2 - 1) * (2 ^ 2 + 1) with square difference formula
(2 - 1) * (2 ^ 2 + 1)
Square difference formula A ^ 2-B ^ 2 = (a + b) (a-b)
(2-1)(2^2+1)
=(2^2-1)(2^2+1)/(2+1)
=(2^4-1)/3
=5
Calculation questions (2 + 1) x (22 + 1) x (24 + 1) x (28 + 1) x(264+1)+1,
(2+1)x(2^2+1)x(2^4+1)x(2^8+1)…………… x(2^64+1)+1
=(2-1)(2+1)x(2^2+1)x(2^4+1)x(2^8+1)…………… x(2^64+1)+1
=2^128
RELATED INFORMATIONS
- 1. Ask for advice (2 + 1) (22 + 1) (24 + 1) (28 + 1) How much is (264 + 1) + 1?
- 2. In solving the following problems, Xiao Ming gives two solutions: the square of a - the square of B / A + B Solution 1: original formula = (a + b) (a-b) / A + B = a-b Solution 2: the original formula = (the square of a-b) (a-b) / (a + b) (a-b) = (the square of a-b) (a-b) / the square of A-B = a-b
- 3. To what extent can mathematical simplification be regarded as the final result? For mathematical simplification and evaluation, to what extent can it be regarded as the final result? For example, is the result a fraction or a decimal? A fraction or a sum of fractions? And so on I remember when I went to school, the teacher emphasized I'd like to know the requirements for the final result
- 4. In the triangle ABC, ABC is three sides, the square of (a + b) - the square of C = 2Ab, then the triangle is? In the triangle ABC, a, B and C are three sides, the square of (a + b) - the square of C = 2Ab, then the triangle is___________ triangle? How many answers should there be? I wrote right triangle or isosceles triangle or isosceles right triangle, p. I know there must be a right triangle, but I asked if it could be isosceles or isosceles right triangle? If a = B, then the original formula = 2A ^ 2 + 2A ^ 2-C ^ 2 = 2A ^ 2 That is, C ^ 2 = 2A ^ 2, according to the Pythagorean theorem, C ^ 2 = a ^ 2 + B ^ 2, then the equation holds! It may be an isosceles right triangle!
- 5. A. B, C, D and e guess their math scores A. B, C, D and e guess their math scores A said, "if I get the best, then B gets the best B said, "if I get the best, so does C C said, "if I get the best, then d gets the best D said, "if I get the best, then E also gets the best No one was wrong, but only three people got the best. Which three did they ask? Everybody says it's CDE, but if C is, isn't b?
- 6. A. B.c.d.e five students guess their grades, a said: "if I get excellent, then B is also excellent"; B said: "if I get excellent, then C is also excellent"; C said: "if I get excellent, then D is also excellent"; D said: "if I get excellent, then E is also excellent". They are not wrong, but only three people get excellent. Excuse me: which three people get excellent?
- 7. Decomposition factor: 16 (x + y) ^ 2-24 (x + y) + 9
- 8. 1. Calculate (1) (2m + n-p) ^ 2 (2) (x + 1) ^ 2 (x-1) ^ 2 (3) (x + y) ^ 2 (X-Y) (4) (2a-3b + C) (C-2A + 3b) with multiplication formula
- 9. Calculation: (2m + n-p) (2m-n + P)
- 10. m-(2m-n-p)=
- 11. Party A and Party B process a batch of parts at the same time. In the first three hours, they process a total of 126 pieces. In the last five hours, party a first spends an hour repairing tools. Therefore, Party A processes 10 pieces more per hour than before. Results in the later period, Party a processes 10 pieces more than Party B. how many pieces did Party A and Party B process per hour
- 12. Algebraic calculation, (1)(a+2b-3c)(a-2b+3c) (2) Square of X (X-5) - x (X-5) (X-5) (3) The square of (3x + 1) and the square of (3x-1)
- 13. Can algebraic formula 9 (1-x) ^ 2-12 (1-x ^ 2) + 4 (1 + x) ^ 2 be decomposed by complete square formula? If so, please decompose
- 14. In the trapezoid ABCD, ad = a.bc = 2A, height AB = de = 2A, f is the midpoint of CD, AB is the diameter of semicircle, and the area of trapezoid is expressed by an algebraic formula containing a
- 15. Simple mathematics calculation, please use a simple method to calculate [5 / 2 + (3-1 / 2)] x 3 / 5
- 16. Please give a detailed answer to the simple math calculation in Grade 6 of primary school, thank you! (216:44:0) 11 by 12 by 13-12 by 13-260
- 17. If a magazine can issue 100000 copies at the price of 2 yuan per copy, if the price of each copy is increased by 0.2 yuan, the circulation will be reduced by 5000 copies. In order to make the total income not less than 224000 yuan, what is the price of the magazine? (the answer is 2.8 yuan ~ 3.2 yuan)
- 18. Seek a very simple mathematical probability problem! English slightly better into! In the casino game called high-low, there are three possible bets.Assume that $1 is the size of the bet .A pair of fair 6-sided dice is rolled and their sum is calculated.If you bet Low ,you win $1 if the sum of the dice is {2,3,4,5,6}.if you bet high ,you win $1 if the sum of the dice is {8,9,10,11,12} if you bet on {7} you win $4 if a sum of 7 is rolled.Otherwise you lose on each of the three bets.In all three cases,your origional dollar is returned to you if you win.Find the expected value of the game to the better of the bet of high.
- 19. Please help me with my salary The specific situation is as follows: we have a total of 4 days off (04.01-04.04) on Qingming Festival, 1.5 days off on weekdays, and half a day off in the afternoon of Saturday (03.31) before the holiday Now the company will deduct our wages for two days in April, only 0.5 days of overtime on Saturday. I always think it's wrong, but I can't refute it According to my opinion, we have 2.5 days at the weekend + Qingming Festival, which means we have 1.5 days more. But we have half day shift, so we should only deduct one day's salary. Even if the company makes up half day's salary on Saturday, we should also deduct 1.5 days instead of two days' salary this month! Trouble expert advice!
- 20. A mathematical problem about the calculation of employees' wages, how can we reasonably calculate it? Suppose there are two employees in a factory, i.e. Party A and Party B. they can get 10 yuan for each product they manufacture. In November, Party A manufactures five and Party B manufactures 15, and each person can get 50 yuan and 150 yuan. However, because the products manufactured by Party A and Party B are different in difficulty, each person's work should be given different value coefficients, i.e. 1.2 and 0.8, The average is 1. After multiplying each person's remuneration by the value coefficient, each person's remuneration is 60 yuan, 120 yuan, a total of 180 yuan, 20 yuan less than the total of 200 yuan before multiplying the value coefficient. What's the matter? In addition, please give the correct method to calculate the reasonable remuneration of each person, considering both the quantity of products and the difficulty of work