Topic: Binomial Expansion
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What is binomial expansion theorem?
We often come across the algebraic identity (a + b) 2 = a 2 + 2ab + b 2 . In expansions of smaller powers of a binomial expressions, it may be easy to actually calculate by working out the actual product. But with higher powers the work bec... Read More »
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What is binomial expansion?
Sounds pretty sexy, eh? See link. http://en.wikipedia.org/wiki/Binomial_expansion Read More »
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What is the formula for the binomial expansion
Binomial theorem in algebra,refers to a formula for expansion of th... ...MORE... Read More »
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Binomial Expansion
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Blaise Pascal ( June 19, 1623 - August 19, 1662), a French mathematician, physicist, inventor, philosopher and writer. Its derivation goes back to Pythagoras' figurative numbers and various forms of the triangle were 'discovered' by Chinese...
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Answer First i will explain the binomial expansion (a+b)n=bn+nC1a*bn-1
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For any positive integer n, n! = n (n - 1)(n - 2)(n - 3)...
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(1 + i)^-1 1/(1 + i) 1/(1 + i) × (1 - i)/(1 - i) (1 - i)/(1 - i²) (1 - i)/(1 + 1) ← i² = -1 (1 - i)/2 or 1/2 - 1/2 i ♣♦
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Pascal's triangle determines coeffecients when expanding a binomial. A pattern that takes place too... or you could say where (a+b)^n when expanded it is equal to a^n + .... + b^n where b^n has an ascending exponential value left to right a...
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If you have a positive number, all terms are positive. If you have a negative number, the terms alternate in sign. (x-2)^5 = x^5 - 5C1 x^4 (2) + 5C2 x^3 (2)^2 - 5C3 x^2 (2)^3 + 5C4 x (2)^4 -2^5 = x^5 - (5)(2) x^4 + (10)(4) x^3 - (10)(8) x^2...
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