How to prove binomial theorem?

How to prove binomial theorem?


It is proved that the multiplication of n (a + b) is the product of a letter A or B from (a + b). Therefore, every term in the expansion of (a + b) ^ n is in the form of a ^ k * B ^ (n-k). For each a ^ k * B ^ (n-k), K (a + b) selects a, and the coefficient of a is the combination number of K (that is, the number in the upper right corner of C, right



How to prove binomial theorem?


The multiplication of n (a + b) is the product of a letter A or B from (a + b). Therefore, every term in the expansion of (a + b) ^ n is in the form of a ^ k * B ^ (n-k). For each a ^ k * B ^ (n-k), a is selected by K (a + b), and the coefficient of a is the combination number of K (that is, the number in the upper right corner of C), (n-k) (a + b) choose B to get (the coefficient of B is the same). Thus the binomial theorem is obtained
Sum of binomial coefficients:
The nth power of 2



Every point on the number axis can be used to represent a rational number
Why?


No. There are also points on the number axis that represent irrational numbers



Given that the solution of the linear equation AX + B = 0 with respect to X is x = 2, what is the solution of the equation a (x + 1) + B = 0?
It is helpful for the responder to give an accurate answer


Ax + B = 0, then a ≠ 0, x = 2, B = - 2A,
The solution of a (x + 1) + B = 0 is x = 1



The difference between a good many, a lot of, a great deal of, a great many of


1: many, a number of, a few, a lot of, then countable 2: many, a little, a great deal of, uncountable noun 3: lots of, a lot of, plenty of



In △ ABC, ∠ C = 90 °, AC = 2.1cm, BC = 2.8cm. (1) find the area of △ ABC; (2) find the length of hypotenuse AB; (3) find the length of height CD


As shown in the figure: (1) s △ ABC = 12ac × BC = 2.94; (2) AB = ac2 + BC2 = 3.5; (3) 12bc × AC = 12ab × CD, the solution is: CD = 1.68



The differences in the usage and meaning of several English phrases
1.beat strike hit
2.glance at look at glare at stare at


In short:
I'll beat you! Beat him!
Strike, attack, have more abstract meaning
Hit, hit, very specific action
A brief glance
Look at
Glare at
Stare at for a long time



What are the Chinese meanings of WTO, BBC, ABC, USA, PRC, am and PM


World Trade Organization BBC Agricultural Bank of China



What do you think of it?
Ha ha, wrong words. It's a Chinese English translation. Sorry!:)


If you want to emphasize "it", you can't, if not, you can use it
For example, if you go to a store to sell something and want to ask a friend how the product is, and want to get a friend's evaluation of the product, you can use the first one. If you use the second one to express "what do you think", maybe he will answer that the product is much cheaper in other stores
Ha ha Hope to help you In fact, the difference is relatively small. Think about it carefully^^



For a fraction, if the numerator adds 8 and the denominator subtracts 10, its simplified value is 3 / 4; if the numerator adds 32, its simplified value is 1 / 2, and the fraction is
How many. Use equation solution, urgent


Let the score be x / y
(x+8)/(y-10)=3/4
(x+32)/y=1/2
The solution is: x = 1, y = 66
So the score is 1 / 66