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State and prove' binomial theorem' for non - negative integral exponent?
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Define binomial theorem?
The binomial theorem describes the algebraic expansion of powers of a binomial: that is, the expansion of an expression of the form (x + y)^n where x and y are variables and n is the power to which the binomial is raised. When first encountered, n is a positive integer, but the binomial theorem can be extended to cover values of n which are fractional or negative (or both).
What is a binominal theorem?
The binomial theorem describes the algebraic expansion of powers of a binomial, hence it is referred to as binomial expansion.
What is the relationship between probability and the binomial theorem?
What is the symbol for a Probability of success in a binomial trial?
Who invented binomial theorem?
AnswerThe binomial theorem has been known for thousands of years. It may have first been discovered in India around 500 BC.
Why is the binomial theorem important for daily life?
suck my balls
Define binomial theorem?
The binomial theorem describes the algebraic expansion of powers of a binomial: that is, the expansion of an expression of the form (x + y)^n where x and y are variables and n is the power to which the binomial is raised. When first encountered, n is a positive integer, but the binomial theorem can be extended to cover values of n which are fractional or negative (or both).
What is a binominal theorem?
The binomial theorem describes the algebraic expansion of powers of a binomial, hence it is referred to as binomial expansion.
How do you use binomial theorem in daily life?
You don't, unless you work in engineering. The Wikipedia article on "binomial theorem" has a section on "Applications".
Did Isaac newton co create the binomial theorem?
yes Isaac Newton created the binomial theorem
How did Sir Isaac Newton contribute to algebra?
Binomial expansions and the binomial theorem,\.
What is the meaning binomial?
A binomial is a polynomial with two terms. It is an algebraic expression consisting of two terms connected by either addition or subtraction. It is commonly seen in the form of (a + b)^n in binomial theorem, where a and b are variables and n is a non-negative integer.
How can we use of binomial theorem in pharmacy?
Binomial Theorem consists of formulas to determine variables. In pharmacy it can be used to calculate risks and costs of certain medications.
What is the relationship between probability and the binomial theorem?
What is the symbol for a Probability of success in a binomial trial?
Who invented binomial theorem?
AnswerThe binomial theorem has been known for thousands of years. It may have first been discovered in India around 500 BC.
How do you solve 5.4e0.06t using the fundamental theorem of calculus?
We need more information. Is there a limit or integral? The theorem states that the deivitive of an integral of a function is the function
Why is the binomial theorem important for daily life?
suck my balls
What is the newton's generalised binomial theorem?
It's better to think about the ordinary binomial theorem first. Consider a binomial (x + y), and raising it to a power, say squaring it. (x + y)^2 = (x + y)(x + y) = x^2 + 2xy + y^2 Now try cubing it. (x + y)^3 = (x + y)(x + y)(x + y) = x^3 + 3x^2 y + 3xy^2 + y^3 It becomes very tedious to do this. The binomial theorem allows us to expand binomial expressions to a power very quickly. The generalised binomial theorem is, as it says, 'generalised' - the 'original' binomial theorem only allows us to expand binomial expressions to a power which is a whole number (0, 1, 2, 3 ... etc) but not numbers such as 1/2, 1/3 or -1. Newton's generalised binomial theorem allows us to expand binomial expressions for any _rational_ power. (that is any number which can be expressed as a ratio of two integers - not something horrible like the cube root of three) So now we can expand things like (x + y)^0.5, (1 - x)^-1 and all that malarky - this has some fairly deep significances, such as allowing numerical approximations of surds and bears relevance to some power series. For example, take (1 - x)^-4, using Newton's generalised binomial theorem it can be seen that (1 - x)^-4 = 1 + 4x + 10x^2 + 20x^3 ... Each expansion for a rational exponent of the binomial expressions creates an infinite series. The actual calculations are best left to a site which can show you the mathematical notation, but if you can do the normal binomial theorem - the nuances of this one will be easy to grap.
