The Binomial theorem tells us how to expand expressions of the form (a + b)ⁿ, for example, (x +y)⁷. The larger the power is, the harder it is to expand expressions like this directly
Option 3. (x²-1)³
What is Binomial theorem?
Binomial theorem, statement that for any positive integer n, the nth power of the sum of two numbers a and b may be expressed as the sum of n + 1 terms of the form.
Binomial is a polynomial with only terms. For example, x + 2 is a binomial, where x and 2 are two separate terms. Also, the coefficient of x is 1, the exponent of x is 1 and 2 is the constant here. Therefore, A binomial is a two-term algebraic expression that contains variable, coefficient, exponents and constant.
Why is it called binomial theorem?
The binomial theorem provides a simple method for determining the coefficients of each term in the series expansion of a binomial with the general form (A + B)n. A series expansion or Taylor series is a sum of terms, possibly an infinite number of terms, that equals a simpler function.
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