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The binomial theorem calculator helps you to find the expanding binomials for the given binomial equation.
No doubt, the binomial expansion calculation is really complicated to express manually, but this handy binomial expansion calculator follows the rules of binomial theorem expansion to provide the best results.
In mathematics, a polynomial that has two terms is known as binomial expression. These two terms will always be separated by either a plus or minus and appears in term of series.
This series is known as a binomial theorem. It can also be defined as a binomial theorem formula that arranges for the expansion of a polynomial with two terms.
A binomial expansion calculator automatically follows this systematic formula so it eliminates the need to enter and remember it. The formula is:
$$^nΣ_{r=0}= ^nC_r x^{n-r} y^r + ^nC_r x^{n-r}· y^r + …………. + ^nC_{n-1}x · y^{n-1}+ ^nC_n · y^n$$
$$ e. (x + y)^n = ^nΣ_r=0 ^nC_rx^{n – r} · yr $$
where,
$$ ^nC_r = n / (n-r)^r $$
it can be written in another way:
$$(a+ b)^n = ^nC_0a^n + ^nC_1a^{n-1}b + ^nC_2a^{n-2}b^2 + ^nC_3a^{n-3}b^3 + … + ^nC_nb^n$$
You can use the binomial theorem to expand the binomial. To carry out this process without any hustle there are some important points to remember:
Binominal theorem calculator works steadily and quickly. Follow the simple steps explained below: