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Algebra
hey...this may seem really vague.....in some physics problems the expression of the form....
( 1 + a/b) ^ -2 ............... ( or some thing like that....)
is reduced to the form positive unit power........... sumthing like .... (1 - 2a/b) .......i don't remember exactly......
how exactly do we get that reduced expression???
Comments (3)
The formula is called Binomial theorem for any index and is given by
(1 + x)^n = 1 + n x + n(n-1) x^2 / 2! + n(n-1)(n-2) x^3 / 3!............
It is useful when you need to approximate the value of (1+x)^n when x << 1 and n is negative or fractional.
This formula can be used for any value of n and x.
Remember that the succesive coefficients n, n(n-1) / 2.....are nothing but nC1, nC2..... if n is positive.
The formula itself holds for any value of x too. It is another matter that you can neglect the terms after n x if x<<1.
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