Binomial Expansion Of Power -1|How To Calculate Binomial Expansion Of Negative Powers

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Binomials expansion is the method of expanding binomials raised to powers without directly multiplying each factor now this definition would be incomplete without the definition of a binomial. A binomial is a polynomial with two terms example (4x + 6) and the word bi means two.

Calculating the Binomial Expansion Of Powers with Negative index

Now let us say you are given an equation (4x + 6)^n where n < 1, then the formula for calculating the binomial expansion is given by the diagram below:

Start by writing this as (1 + x)–1. The expansion is then: This is equal to (1 + x)–1 provided that |x| < 1.

Binomial expansion for negative fractional powers

The formula above can be used to calculate the binomial expansion for negative fractional powers also so if you have a question, try using it and let us know the output.

Binomial Expansion Calculator

Binomial Theorem Calculator Using Pascal’s Triangle

Pascal’s triangle is the easiest way to calculate the binomial expansion of positive numbers and it can be very useful when you are asked to calculate the binomial expansion of numbers greater than 5.

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